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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.
This volume contains the contributions to the INTERNATIONAL SUMMER INSTITUTE ON THEORETICAL PHYSICS 1980 held from September 1st to September 12th in Bad Honnef, Germany. This Institute was organized by Wuppertal University. It was the eleventh in a series of Summer Schools on particle physics carried out by German Universities. The Institute was aimed to review the present status of gauge theories in elementary particle physics, with emphasis both on the phenomenological and formal aspects. The first part of the volume covers the recent progress in the development of perturbative methods both in quantum chromodynamics (QCD) and flavor dynamics (QFD). Applications to available data from electron positron storage rings and deep inelastic scattering are discussed. The second part presents new results on classical solutions and non-perturbative methods in gauge theories and related field theories like non linear a-models. A very topical account is given on the application of Monte Carlo methods within lattice gauge theories. At present these methods appear to be the most promising technique to establish the quark confinement hypothesis within the framework of non-Abelian gauge theories. The volume is closed with a progress report on the present understanding of sup~rgravity and its relation to grand unification schemes. The lectures on Grand Unified Theories given by Dr. D. V. Nanopoulos at the Bad Honnef meeting can be found in the proceedings of the 1980 Rencontre de Moriond (Ed. J. Tran Thanh Van).
Volume 1 of this revised and updated edition provides an accessible and practical introduction to the first gauge theory included in the Standard Model of particle physics: quantum electrodynamics (QED). The book includes self-contained presentations of electromagnetism as a gauge theory as well as relativistic quantum mechanics. It provides a unique elementary introduction to quantum field theory, establishing the essentials of the formal and conceptual framework upon which the subsequent development of the three gauge theories is based. The text also describes tree-level calculations of physical processes in QED and introduces ideas of renormalization in the context of one-loop radiative corrections for QED. New to the Fourth Edition New chapter on Lorentz transformations and discrete symmetries in relativistic quantum mechanics, with physical applications Introduction of Majorana fermions at an early stage, making the material suitable for a first course in relativistic quantum mechanics Discrete symmetries in quantum field theory Updates on nucleon structure functions and the status of QED The authors discuss the main conceptual points of the theory, detail many practical calculations of physical quantities from first principles, and compare these quantitative predictions with experimental results, helping readers improve both their calculation skills and physical insight.
Gauge Theories in Particle Physics, Volume 1: From Relativistic Quantum Mechanics to QED, Third Edition presents 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 two-volume third edition, much of the book has been rewritten to reflect developments over the last decade, both in the curricula of university courses and in particle physics research. 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. 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 so as 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.
Meeting the need for a coherently written and comprehensive compendium combining field theory and particle physics for advanced students and researchers, this book 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 volume for high energy and theoretical physicists, as well as astronomers, graduate students and lecturers in physics. Volume 2 concentrates on the main aspects of the Standard Model by addressing its recent developments and future prospects. Furthermore, it gives 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.
Gauge theory is now recognized as one of the most revolutionary discoveries in physics since the development of quantum mechanics. This primer explains how and why gauge theory has dramatically changed our view of the fundamental forces of nature. The text is designed for the non-specialist. A new, intuitive approach is used to make the ideas of gauge theory accessible to both scientists and students with only a background in quantum mechanics. Emphasis is placed on the physics rather than the formalism.

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