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Connections in
Classical and
Quantum
Field Theory
.World Scientific
Connections in
Classical and
Quantum
Field Theory
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L. Mangiarotti
University of Camerino, Italy
G. Sardanashvily
Moscow State University, Russia
Connections in
Classical and
Quantum
Field Theory
World Scientific
Singapore •NewJersey •London • Hong Kong
Published by
World Scientific Publishing Co. Pte. Ltd.
P O Box 128, Farrer Road, Singapore 912805
USA office: Suite 1B, 1060 Main Street, River Edge, NJ 07661
UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library.
CONNECTIONS IN CLASSICAL AND QUANTUM FIELD THEORY
Copyright C 2000 by World Scientific Publishing Co. Pte. Ltd.
All rights reserved. This book, or parts thereof may not be reproduced in any form or by any means,
electronic or mechanical, including photocopying, recording or any information storage and retrieval
system now known or to be invented, without written permission from the Publisher.
For photocopying of material in this volume, please pay a copying fee through the Copyright
Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to
photocopy is not required from the publisher.
ISBN 981-02-2013-8
Printed in Singapore by Uto-Print
Preface
The present book is based on the graduate and post graduate courses of lectures
given at the Department of Theoretical Physics of Moscow State University and the
Department of Mathematics and Physics of Camerino University. It is addressed to
a wide audience of physicists and mathematicians, and aims at showing in a unified
way the role that the concept of a connection plays both in classical and quantum
field theory. To our knowledge, this is the first attempt to present connections as a
main geometrical object which underlies man