Quantum Field Theory Iii Gauge Theory

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Quantum Field Theory III: Gauge Theory

Author : Eberhard Zeidler
Publisher : Springer
ISBN 13 : 9783662505953
Total Pages : 0 pages
Book Rating : 4.5/5 (59 download)

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Book Synopsis Quantum Field Theory III: Gauge Theory by : Eberhard Zeidler

Download or read book Quantum Field Theory III: Gauge Theory written by Eberhard Zeidler and published by Springer. This book was released on 2016-08-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Gauge Theories as a Problem of Constructive Quantum Field Theory and Statistical Mechanics

Author : E. Seiler
Publisher : Springer
ISBN 13 : 9783662135198
Total Pages : 195 pages
Book Rating : 4.1/5 (351 download)

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Book Synopsis Gauge Theories as a Problem of Constructive Quantum Field Theory and Statistical Mechanics by : E. Seiler

Download or read book Gauge Theories as a Problem of Constructive Quantum Field Theory and Statistical Mechanics written by E. Seiler and published by Springer. This book was released on 2014-03-12 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Gauge Field Theories

Author : Mike Guidry
Publisher : John Wiley & Sons
ISBN 13 : 3527617361
Total Pages : 620 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Gauge Field Theories by : Mike Guidry

Download or read book Gauge Field Theories written by Mike Guidry and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acquaints readers with the main concepts and literature of elementary particle physics and quantum field theory. In particular, the book is concerned with the elaboration of gauge field theories in nuclear physics; the possibility of creating fundamental new states of matter such as an extended quark-gluon plasma in ultra-relativistic heavy ion collisions; and the relation of gauge theories to the creation and evolution of the universe. Divided into three parts, it opens with an introduction to the general principles of relativistic quantum field theory followed by the essential ingredients of gauge fields for weak and electromagnetic interactions, quantum chromodynamics and strong interactions. The third part is concerned with the interface between modern elementary particle physics and "applied disciplines" such as nuclear physics, astrophysics and cosmology. Includes references and numerous exercises.

Quantum Field Theory III: Gauge Theory

Author : Eberhard Zeidler
Publisher : Springer Science & Business Media
ISBN 13 : 3642224210
Total Pages : 1141 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Quantum Field Theory III: Gauge Theory by : Eberhard Zeidler

Download or read book Quantum Field Theory III: Gauge Theory written by Eberhard Zeidler and published by Springer Science & Business Media. This book was released on 2011-08-17 with total page 1141 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Classical Theory of Gauge Fields

Author : Valery Rubakov
Publisher : Princeton University Press
ISBN 13 : 1400825091
Total Pages : 456 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Classical Theory of Gauge Fields by : Valery Rubakov

Download or read book Classical Theory of Gauge Fields written by Valery Rubakov and published by Princeton University Press. This book was released on 2009-02-09 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a highly regarded lecture course at Moscow State University, this is a clear and systematic introduction to gauge field theory. It is unique in providing the means to master gauge field theory prior to the advanced study of quantum mechanics. Though gauge field theory is typically included in courses on quantum field theory, many of its ideas and results can be understood at the classical or semi-classical level. Accordingly, this book is organized so that its early chapters require no special knowledge of quantum mechanics. Aspects of gauge field theory relying on quantum mechanics are introduced only later and in a graduated fashion--making the text ideal for students studying gauge field theory and quantum mechanics simultaneously. The book begins with the basic concepts on which gauge field theory is built. It introduces gauge-invariant Lagrangians and describes the spectra of linear perturbations, including perturbations above nontrivial ground states. The second part focuses on the construction and interpretation of classical solutions that exist entirely due to the nonlinearity of field equations: solitons, bounces, instantons, and sphalerons. The third section considers some of the interesting effects that appear due to interactions of fermions with topological scalar and gauge fields. Mathematical digressions and numerous problems are included throughout. An appendix sketches the role of instantons as saddle points of Euclidean functional integral and related topics. Perfectly suited as an advanced undergraduate or beginning graduate text, this book is an excellent starting point for anyone seeking to understand gauge fields.

Introduction to Gauge Field Theory Revised Edition

Author : D. Bailin
Publisher : CRC Press
ISBN 13 : 9780750302814
Total Pages : 390 pages
Book Rating : 4.3/5 (28 download)

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Book Synopsis Introduction to Gauge Field Theory Revised Edition by : D. Bailin

Download or read book Introduction to Gauge Field Theory Revised Edition written by D. Bailin and published by CRC Press. This book was released on 1993-01-01 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Gauge Field Theory provides comprehensive coverage of modern relativistic quantum field theory, emphasizing the details of actual calculations rather than the phenomenology of the applications. Forming a foundation in the subject, the book assumes knowledge of relativistic quantum mechanics, but not of quantum field theory. The book is ideal for graduate students, advanced undergraduates, and researchers in the field of particle physics.

Quantum Field Theory I: Basics in Mathematics and Physics

Author : Eberhard Zeidler
Publisher : Springer Science & Business Media
ISBN 13 : 354034764X
Total Pages : 1060 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Quantum Field Theory I: Basics in Mathematics and Physics by : Eberhard Zeidler

Download or read book Quantum Field Theory I: Basics in Mathematics and Physics written by Eberhard Zeidler and published by Springer Science & Business Media. This book was released on 2007-04-18 with total page 1060 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics.

Gauge Theories in Particle Physics, Volume II

Author : I.J.R. Aitchison
Publisher : CRC Press
ISBN 13 : 9780849387760
Total Pages : 484 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Gauge Theories in Particle Physics, Volume II by : I.J.R. Aitchison

Download or read book Gauge Theories in Particle Physics, Volume II written by I.J.R. Aitchison and published by CRC Press. This book was released on 2003-12-01 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of the third edition of a successful text, now substantially enlarged and updated to reflect developments over the last decade in the curricula of university courses and in particle physics research. Volume I covered relativistic quantum mechanics, electromagnetism as a gauge theory, and introductory quantum field theory, and ended with the formulation and application of quantum electrodynamics (QED), including renormalization. Building on these foundations, this second volume provides a complete, accessible, and self-contained introduction to the remaining two gauge theories of the standard model of particle physics: quantum chromodynamics (QCD) and the electroweak theory. The treatment significantly extends that of the second edition in several important respects. Simple ideas of group theory are now incorporated into the discussion of non-Abelian symmetries. Two new chapters have been added on QCD, one devoted to the renormalization group and scaling violations in deep inelastic scattering and the other to non-perturbative aspects of QCD using the lattice (path-integral) formulation of quantum field theory; the latter is also used to illuminate various aspects of renormalization theory, via analogies with condensed matter systems. Three chapters treat the fundamental topic of spontaneous symmetry breaking: the (Bogoliubov) superfluid and the (BCS) superconductor are studied in some detail; one chapter is devoted to the implications of global chiral symmetry breaking in QCD; and one to the breaking of local SU(2)xU(1) symmetry in the electroweak theory. Weak interaction phenomenology is extended to include discussion of discrete symmetries and of the possibility that neutrinos are Majorana (rather than Dirac) particles. Most of these topics are normally found only in more advanced texts, and this is the first book to treat them in a manner accessible to the wide readership that the previous editions have attracted.

Quantum Field Theory I

Author : Edouard B. Manoukian
Publisher : Springer
ISBN 13 : 3319309390
Total Pages : 586 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Quantum Field Theory I by : Edouard B. Manoukian

Download or read book Quantum Field Theory I written by Edouard B. Manoukian and published by Springer. This book was released on 2016-12-01 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Gauge Field Theories

Author : Paul H. Frampton
Publisher : John Wiley & Sons
ISBN 13 : 3527623361
Total Pages : 353 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Gauge Field Theories by : Paul H. Frampton

Download or read book Gauge Field Theories written by Paul H. Frampton and published by John Wiley & Sons. This book was released on 2008-09-08 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this necessary reading for cosmologists and particle astrophysicists was quickly adopted by universities and other institutions of higher learning around the world. And with the data and references updated throughout, this third edition continues to be an ideal reference on the subject. The tried-and-tested logical structuring of the material on gauge invariance, quantization, and renormalization has been retained, while the chapters on electroweak interactions and model building have been revised. Completely new is the chapter on conformality. As in the past, Frampton emphasizes formalism rather than experiments and provides sufficient detail for readers wishing to do their own calculations or pursue theoretical physics research.

Mathematical Gauge Theory

Author : Mark J.D. Hamilton
Publisher : Springer
ISBN 13 : 3319684396
Total Pages : 658 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Mathematical Gauge Theory by : Mark J.D. Hamilton

Download or read book Mathematical Gauge Theory written by Mark J.D. Hamilton and published by Springer. This book was released on 2017-12-06 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction To Quantum Field Theory

Author : Michael E. Peskin
Publisher : CRC Press
ISBN 13 : 0429983182
Total Pages : 866 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis An Introduction To Quantum Field Theory by : Michael E. Peskin

Download or read book An Introduction To Quantum Field Theory written by Michael E. Peskin and published by CRC Press. This book was released on 2018-05-04 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Gauge Field Theories

Author : M. Chaichian
Publisher : Springer Science & Business Media
ISBN 13 : 3642821774
Total Pages : 337 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Introduction to Gauge Field Theories by : M. Chaichian

Download or read book Introduction to Gauge Field Theories written by M. Chaichian and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, gauge fields have attracted much attention in elementary par ticle physics. The reason is that great progress has been achieved in solving a number of important problems of field theory and elementary particle physics by means of the quantum theory of gauge fields. This refers, in particular, to constructing unified gauge models and theory of strong interactions between the elementary particles. This book expounds the fundamentals of the quantum theory of gauge fields and its application for constructing unified gauge models and the theory of strong interactions. In writing the book, the authors' aim was three-fold: firstly, to outline the basic ideas underlying the unified gauge models and the theory of strong inter actions; secondly, to discuss the major unified gauge models, the theory of strong interactions and their experimental implications; and, thirdly, to acquaint the reader with a rather special mathematical approach (path-in tegral method) which has proved to be well suited for constructing the quantum theory of gauge fields. Gauge fields are a vigorously developing area. In this book, we have select ed for presentation the more or less traditional and commonly accepted mate rial. There also exist a number of different approaches which are presently being developed. The most important of them are touched upon in the Conclusion.

Gauge Theory of Elementary Particle Physics

Author : Ta-Pei Cheng
Publisher : Oxford University Press
ISBN 13 : 0192652249
Total Pages : 549 pages
Book Rating : 4.1/5 (926 download)

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Book Synopsis Gauge Theory of Elementary Particle Physics by : Ta-Pei Cheng

Download or read book Gauge Theory of Elementary Particle Physics written by Ta-Pei Cheng and published by Oxford University Press. This book was released on 1994-08-02 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a practical introduction to the principal ideas in gauge theory and their applications to elementary particle physics. It explains technique and methodology with simple exposition backed up by many illustrative examples. Derivations, some of well known results, are presented in sufficient detail to make the text accessible to readers entering the field for the first time. The book focuses on the strong interaction theory of quantum chromodynamics and the electroweak interaction theory of Glashow, Weinberg, and Salam, as well as the grand unification theory, exemplified by the simplest SU(5) model. Not intended as an exhaustive survey, the book nevertheless provides the general background necessary for a serious student who wishes to specialize in the field of elementary particle theory. Physicists with an interest in general aspects of gauge theory will also find the book highly useful.

Quantum Field Theory of Many-Body Systems

Author : Xiao-Gang Wen
Publisher : OUP Oxford
ISBN 13 : 0191523968
Total Pages : 520 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Quantum Field Theory of Many-Body Systems by : Xiao-Gang Wen

Download or read book Quantum Field Theory of Many-Body Systems written by Xiao-Gang Wen and published by OUP Oxford. This book was released on 2004-06-04 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been the emergence of a new paradigm associated with fractionalisation, topological order, emergent gauge bosons and fermions, and string condensation. These new physical concepts are so fundamental that they may even influence our understanding of the origin of light and fermions in the universe. This book is a pedagogical and systematic introduction to the new concepts and quantum field theoretical methods (which have fuelled the rapid developments) in condensed matter physics. It discusses many basic notions in theoretical physics which underlie physical phenomena in nature. Topics covered are dissipative quantum systems, boson condensation, symmetry breaking and gapless excitations, phase transitions, Fermi liquids, spin density wave states, Fermi and fractional statistics, quantum Hall effects, topological and quantum order, spin liquids, and string condensation. Methods covered are the path integral, Green's functions, mean-field theory, effective theory, renormalization group, bosonization in one- and higher dimensions, non-linear sigma-model, quantum gauge theory, dualities, slave-boson theory, and exactly soluble models beyond one-dimension. This book is aimed at teaching graduate students and bringing them to the frontiers of research in condensed matter physics.

Gauge Theories in Particle Physics, Third Edition - 2 volume set

Author : Ian J.R. Aitchison
Publisher : CRC Press
ISBN 13 : 9780750309820
Total Pages : 474 pages
Book Rating : 4.3/5 (98 download)

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Book Synopsis Gauge Theories in Particle Physics, Third Edition - 2 volume set by : Ian J.R. Aitchison

Download or read book Gauge Theories in Particle Physics, Third Edition - 2 volume set written by Ian J.R. Aitchison and published by CRC Press. This book was released on 2004-01-01 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume set provides an accessible, practical, and comprehensive introduction to the three gauge theories of the standard model of particle physics: quantum electrodynamics (QED), quantum chromodynamics (QCD), and the electroweak theory. For each of them, the authors provide a thorough discussion of the main conceptual points, a detailed exposition of many practical calculations of physical quantities, and a comparison of these quantitative predictions with experimental results. For this third edition, much has been rewritten to reflect developments over the last decade, both in the curricula of university courses and in particle physics research. On the one hand, substantial new material has been introduced that is intended for use in undergraduate physics courses. New introductory chapters provide a precise historical account of the properties of quarks and leptons and a qualitative overview of the quantum field description of their interactions, at a level appropriate to third year courses. The chapter on relativistic quantum mechanics has been enlarged and is supplemented by additional sections on scattering theory and Green functions, in a form appropriate to fourth-year courses. On the other hand, since precision experiments now test the theories beyond lowest order in perturbation theory, an understanding of the data requires a more sophisticated knowledge of quantum field theory, including ideas of renormalization. The treatment of quantum field theory has therefore been considerably extended to provide a uniquely accessible and self-contained introduction to quantum field dynamics as described by Feynman graphs. The level is suitable for advanced fourth-year undergraduates and first-year graduates. These developments are all contained in the first volume, which ends with a discussion of higher order corrections in QED. The second volume is devoted to the non-Abelian gauge theories of QCD and the electroweak theory. As in the first two editions, emphasis is placed throughout on developing realistic calculations from a secure physical and conceptual basis.

Gauge Theories of the Strong, Weak, and Electromagnetic Interactions

Author : Chris Quigg
Publisher : Princeton University Press
ISBN 13 : 1400848229
Total Pages : 496 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Gauge Theories of the Strong, Weak, and Electromagnetic Interactions by : Chris Quigg

Download or read book Gauge Theories of the Strong, Weak, and Electromagnetic Interactions written by Chris Quigg and published by Princeton University Press. This book was released on 2013-09-22 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This completely revised and updated graduate-level textbook is an ideal introduction to gauge theories and their applications to high-energy particle physics, and takes an in-depth look at two new laws of nature--quantum chromodynamics and the electroweak theory. From quantum electrodynamics through unified theories of the interactions among leptons and quarks, Chris Quigg examines the logic and structure behind gauge theories and the experimental underpinnings of today's theories. Quigg emphasizes how we know what we know, and in the era of the Large Hadron Collider, his insightful survey of the standard model and the next great questions for particle physics makes for compelling reading. The brand-new edition shows how the electroweak theory developed in conversation with experiment. Featuring a wide-ranging treatment of electroweak symmetry breaking, the physics of the Higgs boson, and the importance of the 1-TeV scale, the book moves beyond established knowledge and investigates the path toward unified theories of strong, weak, and electromagnetic interactions. Explicit calculations and diverse exercises allow readers to derive the consequences of these theories. Extensive annotated bibliographies accompany each chapter, amplify points of conceptual or technical interest, introduce further applications, and lead readers to the research literature. Students and seasoned practitioners will profit from the text's current insights, and specialists wishing to understand gauge theories will find the book an ideal reference for self-study. Brand-new edition of a landmark text introducing gauge theories Consistent attention to how we know what we know Explicit calculations develop concepts and engage with experiment Interesting and diverse problems sharpen skills and ideas Extensive annotated bibliographies