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Introduction to the Classical Theory of Particles and Fields

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Boris Kosyakov
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This volume is intended as a systematic introduction to gauge field theory for advanced undergraduate and graduate students in high energy physics. The discussion is restricted to the classical (non-quantum) theory in Minkowski spacetime. Particular attention has been given to conceptual aspects of field theory, accurate definitions of basic physical notions, and thorough analysis of exact solutions to the equations of motion for interacting systems.

Geometry of Minkowski Space.- Relativistic Mechanics.- Electromagnetic Field.- Solutions to Maxwell's Equations.- Lagrangian Formalism in Electrodynamics.- Self-Interaction in Electrodynamics.- Lagrangian Formalism for Gauge Theories.- Solutions to the Yang?Mills Equations.- Self-Interaction in Gauge Theories.- Generalizations.- Mathematical Appendices.
to the Classical Theory of Particles and Fields ABC Dr. Boris Pavlovich Kosyakov Russian Federal Nuclear Center Institute of Theoretical and Mathematical Physics Mir Avenue 37 Sarov 607190 Nizhnii Novgorod Region Russia E-mail: kosyakov@vniief. ru Library of Congress Control Number: 2006932179 ISBN-10 3-540-40933-5 Springer Berlin Heidelberg New York ISBN-13 978-3-540-40933-5 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, speci?cally the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on micro?lm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springer. com c Springer-Verlag Berlin Heidelberg 2007 Theuseofgeneraldescriptivenames,registerednames,trademarks, etc. inthispublicationdoesnotimply, even in the absence of a speci?c statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. A Typesetting: by the author and techbooks using a Springer LT X macro package E Cover design: eStudio Calamar S. L. , F. Steinen-Broo, Pau/Girona, Spain Printed on acid-free paper SPIN: 11801504 56/techbooks 543210 Preface This book is intended as an introduction to gauge ?eld theory for advanced undergraduate and graduate students in high energy physics.

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