Introduction to Gauge Field Theories

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 qua

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w. Beiglbock J. L. Birman E. H. Lieb T. Regge W. Thirring Series Editors

M. Chaichian

N. F. Nelipa

Introduction to

Gauge Field Theories

With 75 Figures

Springer-Verlag Berlin Heidelberg New York Tokyo 1984

Professor Dr. Masud Chaichian University of Helsinki, Department of High Energy Physics, Siltavuorenpenger 20C, SF -00170 Helsinki 17, Finland

Professor Dr. Nikolai F. Nelipa Institute for Nuclear Physics, Moscow State University, Leninskije gory, SU-117 234 Moscow, USSR Translator

Dr. Juri Estrin Lehmkuhlskamp 13, D-2110 Buchholz/N, Fed. Rep. of Germany

Editors

Tullio Regge

Wolf Beiglbock

Istituto di Fisica Teorica Universita di Torino, C. so M. d'Azeglio, 46 1-10125 Torino, Italy

Institut flir Angewandte Mathematik Universitat Heidelberg 1m Neuenheimer Feld 5 D-6900 Heidelberg 1, Fed. Rep. of Germany

Elliott H. Lieb

Joseph L. Birman

Walter Thirring

Department of Physics , The City College of the City University of New York, New York, NY 10031, USA

Insti tut flir Theoretische Physik der Universitat Wien, Boltzmanngasse 5 A-1090 Wien, Austria

Department of Physics Joseph Henry Laboratories Princeton University Princeton, NJ 08540, USA

ISBN-13:978-3-642-82179-0 e-ISBN-13:978-3-642-82177-6 DOl: 10.1007/978-3-642-82177-6 Library of Congress Cataloging in Publication Data. Chaichian, M. (Masud), 1941-. Introduction to gauge field theories. (Texts and monographs in physics). I. Gauge fields (Physics) I. Nelipa, N. F. (Nikolai Fedorovich) II. Title. III. Series. QC793.3.F5C484 1984 530.1'43 84-5318 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, reuse of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law, where copies are made for other than private use, a fee is payable to "Verwertungsgesellschaft Wort", Munich. © by Springer-Verlag Berlin Heidelberg 1984

Softcover reprint of the hardcover 1st edition

1984

The use of registered names, trademarks, etc in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Typesetting: K + V Fotosatz, Beerfelden. 2153/3130-543210

Preface

In recent years, gauge fields have attracted much attention in elementary particle 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