文档介绍：Classical Theory of Gauge Fields
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Classical Theory
of Gauge Fields
Valery Rubakov
Translated by Stephen S Wilson
PRINCETON UNIVERSITY PRESS
PRINCETON AND OXFORD
Copyright c 2002 by Princeton University Press
Original title: Klassicheskie Kalibrovochnye Polia
c . Rubakov, 1999 c Editorial´ URSS, 1999
Published by Princeton University Press, 41 William Street, Princeton,
New Jersey 08540
In the United Kingdom: Princeton University Press, 3 Market Place,
Woodstock, Oxfordshire OX20 1SY
All Rights Reserved
Library of Congress Control Number 2002102049
ISBN 0-691-05927-6 (hardcover : alk. paper)
The publisher would like to acknowledge the translator of this volume for
providing the camera-ready copy from which this book was printed
Printed on acid-free paper. ∞
Printed in the United States of America
**********
Contents
Preface ix
Part I 1
1 Gauge Principle in Electrodynamics 3
-fieldactioninvacuum............ 3
........................ 5
General solution of Maxwell’s equations in vacuum ..... 6
......................... 8
2 Scalar and Vector Fields 11
System of units = c =1................... 11
........................ 12
....................... 15
...................... 17
....................... 18
.......... 19
Interacting fields. Gauge-invariant interaction in scalar
electrodynamics......................... 21
’stheorem....................... 26
3 Elements of the Theory of Lie Groups and Algebras 33
.............................. 33
.................... 41
....... 48
............... 53
4 Non-Abelian Gauge Fields 57
-Abelianglobalsymmetries................ 57
No