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| quantum field theory and the standard model: Quantum Field Theory and the Standard Model Matthew D. Schwartz, 2014 A modern introduction to quantum field theory for graduates, providing intuitive, physical explanations supported by real-world applications and homework problems. |
| quantum field theory and the standard model: An Introduction To Quantum Field Theory Michael E. Peskin, 2018-05-04 An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories. |
| quantum field theory and the standard model: Introduction to the Standard Model and Beyond Stuart Raby, 2021-07-08 The Standard Model of particle physics is an amazingly successful theory describing the fundamental particles and forces of nature. This text, written for a two-semester graduate course on the Standard Model, develops a practical understanding of the theoretical concepts it's built upon, to prepare students to enter research. The author takes a historical approach to demonstrate to students the process of discovery which is often overlooked in other textbooks, presenting quantum field theory and symmetries as the necessary tools for describing and understanding the Standard Model. He develops these tools using a basic understanding of quantum mechanics and classical field theory, such as Maxwell's electrodynamics, before discussing the important role that Noether's theorem and conserved charges play in the theory. Worked examples feature throughout the text, while homework exercises are included for the first five parts, with solutions available online for instructors. Inspired by the author's own teaching experience, suggestions for independent research topics have been provided for the second-half of the course, which students can then present to the rest of the class. |
| quantum field theory and the standard model: Introduction to Quantum Field Theory and the Standard Model Wolfgang Hollik, 2022 Based on the lectures given at TU Munich for third-year physics students, this book provides the basic concepts of relativistic quantum field theory, perturbation theory, Feynman graphs, Abelian and non-Abelian gauge theories, with application to QED, QCD, and the electroweak Standard Model. It also introduces quantum field theory and particle physics for beginning graduate students with an orientation towards particle physics and its theoretical foundations. Phenomenology of W and Z bosons, as well as Higgs bosons, is part of the electroweak chapter in addition to recent experimental results, precision tests and current status of the Standard Model-- |
| quantum field theory and the standard model: The Standard Model Cliff Burgess, Guy Moore, 2007 This 2006 book uses the standard model as a vehicle for introducing quantum field theory. |
| quantum field theory and the standard model: Quantum Field Theory Lewis H. Ryder, 1996-06-06 This book is a modern introduction to the ideas and techniques of quantum field theory. After a brief overview of particle physics and a survey of relativistic wave equations and Lagrangian methods, the author develops the quantum theory of scalar and spinor fields, and then of gauge fields. The emphasis throughout is on functional methods, which have played a large part in modern field theory. The book concludes with a brief survey of topological objects in field theory and, new to this edition, a chapter devoted to supersymmetry. Graduate students in particle physics and high energy physics will benefit from this book. |
| quantum field theory and the standard model: Quantum Field Theory Mark Srednicki, 2007-01-25 Quantum field theory is the basic mathematical framework that is used to describe elementary particles. This textbook provides a complete and essential introduction to the subject. Assuming only an undergraduate knowledge of quantum mechanics and special relativity, this book is ideal for graduate students beginning the study of elementary particles. The step-by-step presentation begins with basic concepts illustrated by simple examples, and proceeds through historically important results to thorough treatments of modern topics such as the renormalization group, spinor-helicity methods for quark and gluon scattering, magnetic monopoles, instantons, supersymmetry, and the unification of forces. The book is written in a modular format, with each chapter as self-contained as possible, and with the necessary prerequisite material clearly identified. It is based on a year-long course given by the author and contains extensive problems, with password protected solutions available to lecturers at www.cambridge.org/9780521864497. |
| quantum field theory and the standard model: Quantum Field Theory for the Gifted Amateur Tom Lancaster, Stephen Blundell, 2014-04 Quantum field theory provides the theoretical backbone to most modern physics. This book is designed to bring quantum field theory to a wider audience of physicists. It is packed with worked examples, witty diagrams, and applications intended to introduce a new audience to this revolutionary theory. |
| quantum field theory and the standard model: An Introduction to Nuclear Physics W. N. Cottingham, D. A. Greenwood, 2001-02-22 This clear and concise introduction to nuclear physics provides an excellent basis for a core undergraduate course in this area. The book opens by setting nuclear physics in the context of elementary particle physics and then shows how simple models can provide an understanding of the properties of nuclei, both in their ground states and excited states, and also of the nature of nuclear reactions. The book also includes chapters on nuclear fission, its application in nuclear power reactors, the role of nuclear physics in energy production and nucleosynthesis in stars. This second edition contains several additional topics: muon-catalysed fusion, the nuclear and neutrino physics of supernovae, neutrino mass and neutrino oscillations, and the biological effects of radiation. A knowledge of basic quantum mechanics and special relativity is assumed. Appendices deal with other more specialized topics. Each chapter ends with a set of problems for which outline solutions are provided. |
| quantum field theory and the standard model: A Modern Introduction to Quantum Field Theory Michele Maggiore, 2004-11-25 The importance and the beauty of modern quantum field theory resides in the power and variety of its methods and ideas, which find application in domains as different as particle physics, cosmology, condensed matter, statistical mechanics and critical phenomena. This book introduces the reader to the modern developments, assuming no previous knowledge of quantum field theory. Along with standard topics like Feynman diagrams, the book discusses effective lagrangians, renormalization group equations, the path integral formulation, spontaneous symmetry breaking and non-abelian gauge theories. The inclusion of more advanced topics will also make this a most useful book for graduate students and researchers. |
| quantum field theory and the standard model: Uncovering Quantum Field Theory and the Standard Model Wolfgang Bietenholz, Uwe-Jens Wiese, 2024 Provides a broad and accessible introduction to quantum field theory and the Standard Model of particle physics, adopting a distinctive pedagogical approach with clear intuitive explanations to complement the mathematical exposition. Includes topics of current research both within and beyond the Standard Model-- |
| quantum field theory and the standard model: An Invitation to Quantum Field Theory Luis Alvarez-Gaumé, Miguel A. Vázquez-Mozo, 2011-11-26 This book provides an introduction to Quantum Field Theory (QFT) at an elementary level—with only special relativity, electromagnetism and quantum mechanics as prerequisites. For this fresh approach to teaching QFT, based on numerous lectures and courses given by the authors, a representative sample of topics has been selected containing some of the more innovative, challenging or subtle concepts. They are presented with a minimum of technical details, the discussion of the main ideas being more important than the presentation of the typically very technical mathematical details necessary to obtain the final results. Special attention is given to the realization of symmetries in particle physics: global and local symmetries, explicit, spontaneously broken, and anomalous continuous symmetries, as well as discrete symmetries. Beyond providing an overview of the standard model of the strong, weak and electromagnetic interactions and the current understanding of the origin of mass, the text enumerates the general features of renormalization theory as well as providing a cursory description of effective field theories and the problem of naturalness in physics. Among the more advanced topics the reader will find are an outline of the first principles derivation of the CPT theorem and the spin-statistics connection. As indicated by the title, the main aim of this text is to motivate the reader to study QFT by providing a self-contained and approachable introduction to the most exciting and challenging aspects of this successful theoretical framework. |
| quantum field theory and the standard model: The Physics Of The Standard Model And Beyond Chong-sa Lim, Toshiyuki Morii, Shankar Nath Mukherjee, 2004-04-22 This book provides a unified description of elementary particle interactions and the underlying theories, namely the Standard Model and beyond. The authors have aimed at a concise presentation but have taken care that all the basic concepts are clearly described. Written primarily for graduate students in theoretical and experimental particle physics, The Physics of the Standard Model and Beyond conveys the excitement of particle physics, centering upon experimental observations (new and old) and a variety of ideas for their interpretation. |
| quantum field theory and the standard model: Elementary Particle Physics Yorikiyo Nagashima, 2011-08-04 ACCOUNTING PRINCIPLES Meeting the need for a coherently written and comprehensive compendium combining field theory and particle physics for advanced students and researchers, this volume directly links the theory to the experiments. It is clearly divided into two sections covering approaches to field theory and the Standard Model, and rounded off with numerous useful appendices. A timely work for high energy and theoretical physicists, as well as astronomers, graduate students and lecturers in physics. From the contents: Particles and Fields Lorentz Invariance Dirac Equation Field Quantization Scattering Matrix QED: Quantum Electrodynamics Radiative Corrections and Tests of Qed Symmetries Path Integral : Basics Path Integral Approach to Field Theory Accelerator and Detector Technology Spectroscopy The Quark Model Weak Interaction Neutral Kaons and CP Violation Hadron Structure Gauge Theories Appendices Volume 2 (2013, ISBN 3-527-40966-1) will concentrate on the main aspects of the Standard Model by addressing its recent developments and future prospects. Furthermore, it will give some thought to intriguing ideas beyond the Standard Model, including the Higgs boson, the neutrino, the concepts of the Grand Unified Theory and supersymmetry, axions, and cosmological developments. |
| quantum field theory and the standard model: The Standard Model and Beyond Paul Langacker, 2017-06-26 This new edition of The Standard Model and Beyond presents an advanced introduction to the physics and formalism of the standard model and other non-abelian gauge theories. It provides a solid background for understanding supersymmetry, string theory, extra dimensions, dynamical symmetry breaking, and cosmology. In addition to updating all of the experimental and phenomenological results from the first edition, it contains a new chapter on collider physics; expanded discussions of Higgs, neutrino, and dark matter physics; and many new problems. The book first reviews calculational techniques in field theory and the status of quantum electrodynamics. It then focuses on global and local symmetries and the construction of non-abelian gauge theories. The structure and tests of quantum chromodynamics, collider physics, the electroweak interactions and theory, and the physics of neutrino mass and mixing are thoroughly explored. The final chapter discusses the motivations for extending the standard model and examines supersymmetry, extended gauge groups, and grand unification. Thoroughly covering gauge field theories, symmetries, and topics beyond the standard model, this text equips readers with the tools to understand the structure and phenomenological consequences of the standard model, to construct extensions, and to perform calculations at tree level. It establishes the necessary background for readers to carry out more advanced research in particle physics. Supplementary materials are provided on the author’s website and a solutions manual is available for qualifying instructors. |
| quantum field theory and the standard model: Student Friendly Quantum Field Theory Robert D. Klauber, 2013 By incorporating extensive student input and innovative teaching methodologies, this book aims to make the process of learning quantum field theory easier, and thus more rapid, profound, and efficient, for both students and instructors. Comprehensive explanations are favored over conciseness, every step in derivations is included, and big picture overviews are provided throughout. Typical student responses indicate how well the text achieves its aim. [This] book ... makes quantum field theory much easier to understand! Thanks for making quantum field theory clearer! Awesome. .. approach and presentation .. just awesome !!! Best presentation of QFT I have ever seen . marvelous!!!. transforms learning QFT from being a hazardous endeavor to actually being an enjoyable thing to do. Great job .. extremely clear guided me through many ambiguities .. I wasn't able to work out with any other book. ..truly special extraordinary text. For me, a big relief .. finding [this] text. The book focuses on the canonical quantization approach, but also provides an introductory chapter on path integrals. It covers fundamental principles of quantum field theory, then develops quantum electrodynamics in depth. See the first few chapters at www.quantumfieldtheory.info. |
| quantum field theory and the standard model: Quantum Field Theory II Edouard B. Manoukian, 2016-09-26 This book takes a pedagogical approach to explaining quantum gravity, supersymmetry and string theory in a coherent way. It is aimed at graduate students and researchers in quantum field theory and high-energy physics. The first part of the book introduces quantum gravity, without requiring previous knowledge of general relativity (GR). The necessary geometrical aspects are derived afresh leading to explicit general Lagrangians for gravity, including that of general relativity. The quantum aspect of gravitation, as described by the graviton, is introduced and perturbative quantum GR is discussed. The Schwinger-DeWitt formalism is developed to compute the one-loop contribution to the theory and renormalizability aspects of the perturbative theory are also discussed. This follows by introducing only the very basics of a non-perturbative, background-independent, formulation of quantum gravity, referred to as “loop quantum gravity”, which gives rise to a quantization of space. In the second part the author introduces supersymmetry and its consequences. The generation of superfields is represented in detail. Supersymmetric generalizations of Maxwell’s Theory as well as of Yang-Mills field theory, and of the standard model are worked out. Spontaneous symmetry breaking, improvement of the divergence problem in supersymmetric field theory, and its role in the hierarchy problem are covered. The unification of the fundamental constants in a supersymmetric version of the standard model are then studied. Geometrical aspects necessary to study supergravity are developed culminating in the derivation of its full action. The third part introduces string theory and the analysis of the spectra of the mass (squared) operator associated with the oscillating strings. The properties of the underlying fields, associated with massless particles, encountered in string theory are studied in some detail. Elements of compactification, duality and D-branes are given, as well of the generation of vertices and interactions of strings. In the final sections, the author shows how to recover GR and the Yang-Mills field Theory from string theory. |
| quantum field theory and the standard model: Quantum Field Theory Michael V. Sadovskii, 2019-05-20 This book discusses the main concepts of the Standard Model of elementary particles in a compact and straightforward way. The theoretical results are derived using the physical phenomena as a starting point. This inductive approach allows a deep understanding of the methods used for solving problems in this field. This second, revised edition is expanded with biographical notes contextualizing the main results in quantum field theory. |
| quantum field theory and the standard model: Quantum Field Theory in a Nutshell Anthony Zee, 2010-02-01 A fully updated edition of the classic text by acclaimed physicist A. Zee Since it was first published, Quantum Field Theory in a Nutshell has quickly established itself as the most accessible and comprehensive introduction to this profound and deeply fascinating area of theoretical physics. Now in this fully revised and expanded edition, A. Zee covers the latest advances while providing a solid conceptual foundation for students to build on, making this the most up-to-date and modern textbook on quantum field theory available. This expanded edition features several additional chapters, as well as an entirely new section describing recent developments in quantum field theory such as gravitational waves, the helicity spinor formalism, on-shell gluon scattering, recursion relations for amplitudes with complex momenta, and the hidden connection between Yang-Mills theory and Einstein gravity. Zee also provides added exercises, explanations, and examples, as well as detailed appendices, solutions to selected exercises, and suggestions for further reading. The most accessible and comprehensive introductory textbook available Features a fully revised, updated, and expanded text Covers the latest exciting advances in the field Includes new exercises Offers a one-of-a-kind resource for students and researchers Leading universities that have adopted this book include: Arizona State University Boston University Brandeis University Brown University California Institute of Technology Carnegie Mellon College of William & Mary Cornell Harvard University Massachusetts Institute of Technology Northwestern University Ohio State University Princeton University Purdue University - Main Campus Rensselaer Polytechnic Institute Rutgers University - New Brunswick Stanford University University of California - Berkeley University of Central Florida University of Chicago University of Michigan University of Montreal University of Notre Dame Vanderbilt University Virginia Tech University |
| quantum field theory and the standard model: Supersymmetry and String Theory Michael Dine, 2007-01-04 The past decade has witnessed dramatic developments in the field of theoretical physics. This book is a comprehensive introduction to these recent developments. It contains a review of the Standard Model, covering non-perturbative topics, and a discussion of grand unified theories and magnetic monopoles. It introduces the basics of supersymmetry and its phenomenology, and includes dynamics, dynamical supersymmetry breaking, and electric-magnetic duality. The book then covers general relativity and the big bang theory, and the basic issues in inflationary cosmologies before discussing the spectra of known string theories and the features of their interactions. The book also includes brief introductions to technicolor, large extra dimensions, and the Randall-Sundrum theory of warped spaces. This will be of great interest to graduates and researchers in the fields of particle theory, string theory, astrophysics and cosmology. The book contains several problems, and password protected solutions will be available to lecturers at www.cambridge.org/9780521858410. |
| quantum field theory and the standard model: Symmetry and the Standard Model Matthew Robinson, 2011-08-16 While theoretical particle physics is an extraordinarily fascinating field, the incredibly fast pace at which it moves along, combined with the huge amount of background information necessary to perform cutting edge research, poses a formidable challenge for graduate students. This book represents the first in a series designed to assist students in the process of transitioning from coursework to research in particle physics. Rather than reading literally dozens of physics and mathematics texts, trying to assimilate the countless ideas, translate notations and perspectives, and see how it all fits together to get a holistic understanding, this series provides a detailed overview of the major mathematical and physical ideas in theoretical particle physics. Ultimately the ideas will be presented in a unified, consistent, holistic picture, where each topic is built firmly on what has come before, and all topics are related in a clear and intuitive way. This introductory text on quantum field theory and particle physics provides both a self-contained and complete introduction to not only the necessary physical ideas, but also a complete introduction to the necessary mathematical tools. Assuming minimal knowledge of undergraduate physics and mathematics, this book lays both the mathematical and physical groundwork with clear, intuitive explanations and plenty of examples. The book then continues with an exposition of the Standard Model of Particle Physics, the theory that currently seems to explain the universe apart from gravity. Furthermore, this book was written as a primer for the more advanced mathematical and physical ideas to come later in this series. |
| quantum field theory and the standard model: Lectures On Quantum Field Theory (Second Edition) Ashok Das, 2020-07-24 This book comprises the lectures of a two-semester course on quantum field theory, presented in a quite informal and personal manner. The course starts with relativistic one-particle systems, and develops the basics of quantum field theory with an analysis on the representations of the Poincaré group. Canonical quantization is carried out for scalar, fermion, Abelian and non-Abelian gauge theories. Covariant quantization of gauge theories is also carried out with a detailed description of the BRST symmetry. The Higgs phenomenon and the standard model of electroweak interactions are also developed systematically. Regularization and (BPHZ) renormalization of field theories as well as gauge theories are discussed in detail, leading to a derivation of the renormalization group equation. In addition, two chapters — one on the Dirac quantization of constrained systems and another on discrete symmetries — are included for completeness, although these are not covered in the two-semester course.This second edition includes two new chapters, one on Nielsen identities and the other on basics of global supersymmetry. It also includes two appendices, one on fermions in arbitrary dimensions and the other on gauge invariant potentials and the Fock-Schwinger gauge. |
| quantum field theory and the standard model: The Standard Model in a Nutshell Dave Goldberg, 2017-02-28 A concise and authoritative introduction to one of the central theories of modern physics For a theory as genuinely elegant as the Standard Model—the current framework describing elementary particles and their forces—it can sometimes appear to students to be little more than a complicated collection of particles and ranked list of interactions. The Standard Model in a Nutshell provides a comprehensive and uncommonly accessible introduction to one of the most important subjects in modern physics, revealing why, despite initial appearances, the entire framework really is as elegant as physicists say. Dave Goldberg uses a just-in-time approach to instruction that enables students to gradually develop a deep understanding of the Standard Model even if this is their first exposure to it. He covers everything from relativity, group theory, and relativistic quantum mechanics to the Higgs boson, unification schemes, and physics beyond the Standard Model. The book also looks at new avenues of research that could answer still-unresolved questions and features numerous worked examples, helpful illustrations, and more than 120 exercises. Provides an essential introduction to the Standard Model for graduate students and advanced undergraduates across the physical sciences Requires no more than an undergraduate-level exposure to quantum mechanics, classical mechanics, and electromagnetism Uses a just-in-time approach to topics such as group theory, relativity, classical fields, Feynman diagrams, and quantum field theory Couched in a conversational tone to make reading and learning easier Ideal for a one-semester course or independent study Includes a wealth of examples, illustrations, and exercises Solutions manual (available only to professors) |
| quantum field theory and the standard model: An Introduction to Quantum Field Theory George Sterman, 1993-08-26 Starting from introductory quantum and classical mechanics, this text develops the quantum field theories that make up the `Standard Model' of elementary processes in a systematic presentation emphasizing theoretical concepts as well as experimental applications. |
| quantum field theory and the standard model: A Prelude to Quantum Field Theory John Donoghue, Lorenzo Sorbo, 2022-03-08 A Prelude to Quantum Field Theory offers a short introduction to quantum field theory (QFT), a powerful framework for understanding particle behavior that is an essential tool across many subfields of physics. A subject that is typically taught at the graduate level in most physics departments, quantum field theory is a unification of standard quantum theories and special relativity, which depicts all particles as excitations that arise in underlying fields. It extends quantum mechanics, the modern theory of one or few particles, in a way that is useful for the analysis of many-particle systems in the real world. As it requires a different style of thinking from quantum mechanics, which is typically the undergraduate physics student's first encounter with the quantum world, many beginners struggle with the transition to quantum field theory, especially when working with traditional textbooks. Existing books on the subject often tend to be large, sophisticated, and complete; and an overwhelming wealth of information and technical detail makes it difficult for the novice to discern what is most important. This book is a concise, friendly entrée for QFT-beginners, guiding the reader from the style of quantum mechanical thinking to that of QFT, and distilling the key ideas without a welter of unnecessary detail. In contrast with standard texts, which are predominantly particle physics-centric, this book is designed to be subfield-neutral - usable by students of any background and interest, and easily adaptable in a course setting according to instructors' preferences. The authors' conviction is that QFT is a core element of physics that should be understood by all PhD physicists-but that developing an appreciation for it does not require digesting a large, encyclopedic volume-- |
| quantum field theory and the standard model: General Principles of Quantum Field Theory N.N. Bogolubov, Anatoly A. Logunov, A. I. Oksak, I. Todorov, 1989-12-31 The majority of the memorable results of relativistic quantum theory were obtained within the framework of the local quantum field approach. The explanation of the basic principles of the local theory and its mathematical structure has left its mark on all modern activity in this area. Originally, the axiomatic approach arose from attempts to give a mathematical meaning to the quantum field theory of strong interactions (of Yukawa type). The fields in such a theory are realized by operators in Hilbert space with a positive Poincare-invariant scalar product. This classical part of the axiomatic approach attained its modern form as far back as the sixties. * It has retained its importance even to this day, in spite of the fact that nowadays the main prospects for the description of the electro-weak and strong interactions are in connection with the theory of gauge fields. In fact, from the point of view of the quark model, the theory of strong interactions of Wightman type was obtained by restricting attention to just the physical local operators (such as hadronic fields consisting of ''fundamental'' quark fields) acting in a Hilbert space of physical states. In principle, there are enough such physical fields for a description of hadronic physics, although this means that one must reject the traditional local Lagrangian formalism. (The connection is restored in the approximation of low-energy phe nomenological Lagrangians. |
| quantum field theory and the standard model: Quantum Field Theory and Condensed Matter Ramamurti Shankar, 2017-08-31 Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm–Pines and Chern–Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics. |
| quantum field theory and the standard model: Digestible Quantum Field Theory Andrei Smilga, 2017-12-30 This book gives an intermediate level treatment of quantum field theory, appropriate to a reader with a first degree in physics and a working knowledge of special relativity and quantum mechanics. It aims to give the reader some understanding of what QFT is all about, without delving deep into actual calculations of Feynman diagrams or similar. The author serves up a seven‐course menu, which begins with a brief introductory Aperitif. This is followed by the Hors d'oeuvres, which set the scene with a broad survey of the Universe, its theoretical description, and how the ideas of QFT developed during the last century. In the next course, the Art of Cooking, the author recaps on some basic facts of analytical mechanics, relativity, quantum mechanics and also presents some nutritious “extras” in mathematics (group theory at the elementary level) and in physics (theory of scattering). After these preparations, the reader should have a good appetite for the Entrées ‐ the central par t of the book where the Standard Model is described and explained. After Trou Normand, the restive pause including human stories about physicists and no formulas, the author serves the Dessert, devoted to supersymmetry (a very beautiful theory that is still awaiting a direct experimental confirmation), to general relativity and to the mystery of quantum gravity. |
| quantum field theory and the standard model: Quantum Field Theory III: Gauge Theory Eberhard Zeidler, 2011-08-17 In this third volume of his modern introduction to quantum field theory, Eberhard Zeidler examines the mathematical and physical aspects of gauge theory as a principle tool for describing the four fundamental forces which act in the universe: gravitative, electromagnetic, weak interaction and strong interaction. Volume III concentrates on the classical aspects of gauge theory, describing the four fundamental forces by the curvature of appropriate fiber bundles. This must be supplemented by the crucial, but elusive quantization procedure. The book is arranged in four sections, devoted to realizing the universal principle force equals curvature: Part I: The Euclidean Manifold as a Paradigm Part II: Ariadne's Thread in Gauge Theory Part III: Einstein's Theory of Special Relativity Part IV: Ariadne's Thread in Cohomology For students of mathematics the book is designed to demonstrate that detailed knowledge of the physical background helps to reveal interesting interrelationships among diverse mathematical topics. Physics students will be exposed to a fairly advanced mathematics, beyond the level covered in the typical physics curriculum. Quantum Field Theory builds a bridge between mathematicians and physicists, based on challenging questions about the fundamental forces in the universe (macrocosmos), and in the world of elementary particles (microcosmos). |
| quantum field theory and the standard model: Quantum Field Theory for Mathematicians Robin Ticciati, 1999-06-13 This should be a useful reference for anybody with an interest in quantum theory. |
| quantum field theory and the standard model: Quantum Field Theory I Edouard B. Manoukian, 2016-12-01 This textbook covers a broad spectrum of developments in QFT, emphasizing those aspects that are now well consolidated and for which satisfactory theoretical descriptions have been provided. The book is unique in that it offers a new approach to the subject and explores many topics merely touched upon, if covered at all, in standard reference works. A detailed and largely non-technical introductory chapter traces the development of QFT from its inception in 1926. The elegant functional differential approach put forward by Schwinger, referred to as the quantum dynamical (action) principle, and its underlying theory are used systematically in order to generate the so-called vacuum-to-vacuum transition amplitude of both abelian and non-abelian gauge theories, in addition to Feynman’s well-known functional integral approach, referred to as the path-integral approach. Given the wealth of information also to be found in the abelian case, equal importance is put on both abelian and non-abelian gauge theories. Particular emphasis is placed on the concept of a quantum field and its particle content to provide an appropriate description of physical processes at high energies, where relativity becomes indispensable. Moreover, quantum mechanics implies that a wave function renormalization arises in the QFT field independent of any perturbation theory - a point not sufficiently emphasized in the literature. The book provides an overview of all the fields encountered in present high-energy physics, together with the details of the underlying derivations. Further, it presents “deep inelastic” experiments as a fundamental application of quantum chromodynamics. Though the author makes a point of deriving points in detail, the book still requires good background knowledge of quantum mechanics, including the Dirac Theory, as well as elements of the Klein-Gordon equation. The present volume sets the language, the notation and provides additional background for reading Quantum Field Theory II - Introduction to Quantum Gravity, Supersymmetry and String Theory, by the same author. Students in this field might benefit from first reading the book Quantum Theory: A Wide Spectrum (Springer, 2006), by the same author. |
| quantum field theory and the standard model: Introduction to Effective Field Theory C. P. Burgess, 2020-12-10 This advanced, accessible textbook on effective field theories uses worked examples to bring this important topic to a wider audience. |
| quantum field theory and the standard model: Dynamics of the Standard Model John F. Donoghue, Eugene Golowich, Barry R. Holstein, 2023-02-16 This 2014 edition, now OA, provides a detailed and practical account of the Standard Model of particle physics. |
| quantum field theory and the standard model: Quantum Field Theory Ronald Kleiss, 2021-06-10 A diagrammatic approach to introducing quantum field theory to graduate students in particle physics using Feynman diagrams. |
| quantum field theory and the standard model: Introduction To Quantum Field Theory And The Standard Model Wolfgang Hollik, 2021-12-28 Based on the lectures given at TU Munich for third-year physics students, this book provides the basic concepts of relativistic quantum field theory, perturbation theory, Feynman graphs, Abelian and non-Abelian gauge theories, with application to QED, QCD, and the electroweak Standard Model. It also introduces quantum field theory and particle physics for beginning graduate students with an orientation towards particle physics and its theoretical foundations. Phenomenology of W and Z bosons, as well as Higgs bosons, is part of the electroweak chapter in addition to recent experimental results, precision tests and current status of the Standard Model. |
| quantum field theory and the standard model: Quantum Field Theory for Economics and Finance B. E. Baaquie, 2018-08-23 This book provides an introduction to how the mathematical tools from quantum field theory can be applied to economics and finance. Providing a range of quantum mathematical techniques for designing financial instruments, it demonstrates how a range of topics have quantum mechanical formulations, from asset pricing to interest rates. |
| quantum field theory and the standard model: Mathematical Gauge Theory Mark J.D. Hamilton, 2018-01-10 The Standard Model is the foundation of modern particle and high energy physics. This book explains the mathematical background behind the Standard Model, translating ideas from physics into a mathematical language and vice versa. The first part of the book covers the mathematical theory of Lie groups and Lie algebras, fibre bundles, connections, curvature and spinors. The second part then gives a detailed exposition of how these concepts are applied in physics, concerning topics such as the Lagrangians of gauge and matter fields, spontaneous symmetry breaking, the Higgs boson and mass generation of gauge bosons and fermions. The book also contains a chapter on advanced and modern topics in particle physics, such as neutrino masses, CP violation and Grand Unification. This carefully written textbook is aimed at graduate students of mathematics and physics. It contains numerous examples and more than 150 exercises, making it suitable for self-study and use alongside lecture courses. Only a basic knowledge of differentiable manifolds and special relativity is required, summarized in the appendix. |
| quantum field theory and the standard model: Modern Elementary Particle Physics Gordon Kane, 2017-02-09 An updated edition on the now completed Structural Model, providing an invaluable synthesis of cutting-edge research for students and scientists. |
| quantum field theory and the standard model: Particles, Fields and Forces Wouter Schmitz, 2019-04-23 How can fundamental particles exist as waves in the vacuum? How can such waves have particle properties such as inertia? What is behind the notion of “virtual” particles? Why and how do particles exert forces on one another? Not least: What are forces anyway? These are some of the central questions that have intriguing answers in Quantum Field Theory and the Standard Model of Particle Physics. Unfortunately, these theories are highly mathematical, so that most people - even many scientists - are not able to fully grasp their meaning. This book unravels these theories in a conceptual manner, using more than 180 figures and extensive explanations and will provide the nonspecialist with great insights that are not to be found in the popular science literature. |
Quantum - Wikipedia
In physics, a quantum (pl.: quanta) is the minimum amount of any physical entity (physical property) involved in an interaction. The fundamental notion that a property can be "quantized" …
Quantum | Definition & Facts | Britannica
May 31, 2025 · Quantum, in physics, discrete natural unit, or packet, of energy, charge, angular momentum, or other physical property. Light, for example, appearing in some respects as a …
What Is Quantum Physics? - Caltech Science Exchange
Quantum physics is the study of matter and energy at the most fundamental level. It aims to uncover the properties and behaviors of the very building blocks of nature. While many …
Demystifying Quantum: It’s Here, There and Everywhere
Apr 10, 2024 · Quantum, often called quantum mechanics, deals with the granular and fuzzy nature of the universe and the physical behavior of its smallest particles. The idea of physical …
Quantum mechanics: Definitions, axioms, and key concepts of quantum …
Apr 29, 2024 · Quantum mechanics, or quantum physics, is the body of scientific laws that describe the wacky behavior of photons, electrons and the other subatomic particles that make …
What is quantum in physics and computing? - TechTarget
Feb 27, 2025 · A quantum, the singular form of quanta, is the smallest discrete unit of any physical entity. For example, a quantum of light is a photon, and a quantum of electricity is an …
Science 101: Quantum Mechanics - Argonne National Laboratory
So, what is quantum? In a more general sense, the word “ quantum” can refer to the smallest possible amount of something. The field of quantum mechanics deals with the most …
DOE Explains...Quantum Mechanics | Department of Energy
Quantum mechanics is the field of physics that explains how extremely small objects simultaneously have the characteristics of both particles (tiny pieces of matter) and waves (a …
Quantum for dummies: the basics explained | Engineering and …
Apr 16, 2019 · Professor Alan Woodward from the University of Surrey attempts to demystify the quantum world by explaining key terminology and theory. Which atoms and particles does …
Quantum - definition of quantum by The Free Dictionary
A unit of energy, especially electromagnetic energy, that is the smallest physical quantity that can exist on its own. A quantum acts both like a particle and like an energy wave. Photons are …
Quantum - Wikipedia
In physics, a quantum (pl.: quanta) is the minimum amount of any physical entity (physical property) involved in an interaction. The fundamental notion that a property can be "quantized" …
Quantum | Definition & Facts | Britannica
May 31, 2025 · Quantum, in physics, discrete natural unit, or packet, of energy, charge, angular momentum, or other physical property. Light, for example, appearing in some respects as a …
What Is Quantum Physics? - Caltech Science Exchange
Quantum physics is the study of matter and energy at the most fundamental level. It aims to uncover the properties and behaviors of the very building blocks of nature. While many …
Demystifying Quantum: It’s Here, There and Everywhere
Apr 10, 2024 · Quantum, often called quantum mechanics, deals with the granular and fuzzy nature of the universe and the physical behavior of its smallest particles. The idea of physical …
Quantum mechanics: Definitions, axioms, and key concepts of quantum ...
Apr 29, 2024 · Quantum mechanics, or quantum physics, is the body of scientific laws that describe the wacky behavior of photons, electrons and the other subatomic particles that make …
What is quantum in physics and computing? - TechTarget
Feb 27, 2025 · A quantum, the singular form of quanta, is the smallest discrete unit of any physical entity. For example, a quantum of light is a photon, and a quantum of electricity is an …
Science 101: Quantum Mechanics - Argonne National Laboratory
So, what is quantum? In a more general sense, the word “ quantum” can refer to the smallest possible amount of something. The field of quantum mechanics deals with the most …
DOE Explains...Quantum Mechanics | Department of Energy
Quantum mechanics is the field of physics that explains how extremely small objects simultaneously have the characteristics of both particles (tiny pieces of matter) and waves (a …
Quantum for dummies: the basics explained | Engineering and …
Apr 16, 2019 · Professor Alan Woodward from the University of Surrey attempts to demystify the quantum world by explaining key terminology and theory. Which atoms and particles does …
Quantum - definition of quantum by The Free Dictionary
A unit of energy, especially electromagnetic energy, that is the smallest physical quantity that can exist on its own. A quantum acts both like a particle and like an energy wave. Photons are …
