Geometry of the Standard Model of Elementary Particles
The book gives an exposition of the standard model of elementary particles based on coordinate-free differential geometric foundations. It addresses students in physics and mathematics.
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ndrzej Derdzinski
Geometry of the Standard Model of Elementary Particles
Texts and Monographs in Physics
w.
Beiglbock R. P. Geroch E. H. Lieb T. Regge W. Thirring Series Editors
Andrzej Derdzinski
Geometry of the Standard Model of Elementary Particles
Springer-Verlag Berlin Heidelberg GmbH
Professor Andrzej Derdzinski Dept. of Mathematics Ohio State University Columbus, OR 43210, USA
Editors
Wolf Beiglbock
Tullio Regge
Institut fiir Angewandte Mathematik U niversitiit Heidelberg 1m Neuenheimer Feld 294 D-6900 Heidelberg 1, FRG
Istituto di Fisica Teorica Universita di Torino C. so M. d'Azeglio, 46 1-10125 Torino, Italy
Robert P. Geroch
Walter Thirring
Enrico Fermi Institute University of Chicago 5640 Ellis Ave. Chicago, IL, 60637, USA
Institut fiir Theoretische Physik der Universitiit Wien Boltzmanngasse 5 A-1090 Wien, Austria
Elliott H. Lieb Department of Physics Joseph Henry Laboratories Princeton U ni versi ty Princeton, NJ 08540, USA ISBN 978-3-642-50312-2
ISBN 978-3-642-50310-8 (eBook)
DOI 10.1007/978-3-642-50310-8 Library of Congress Cataloging-in-Publication Data Geometry of the standard model of elementary particles / Andrzej Derdzinski. p.cm. - (Texts and monograms in physics) Includes bibliographical references (p. ) and index. 1. Standard model (Nuclear physics) 2. Electroweak interactions. 1. Title. II. Series.
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in other ways and storage in date banks. Duplication of this publication or parts thereof is permitted only under the provisions of the Geman Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution act under the German Copyright Law.
©
Springer-Verlag Berlin Heidelberg 1992
Originally published by Springer-Verlag Berlin Heidelberg New York in 1992. The use of general descriptive names, 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 Data conversion by Type 2000, Mill Valley, USA; 55/3020-543210 - Printed on acid-free paper
Preface
The standard model is the currently accepted theory of particles and interactions, describing them in a manner that is both coherent and consistent with experimental data. This book deals only with the classical part of the standard model, obtained by ignoring its aspects related to field quantization. Despite its shortcomings as a description of nature, such a classical approach offers a simple yet far-reaching insight into the structure of particle theories (see end of §6.7). The reader need not be familiar with theoretical physics, but is expected to know the basic facts about Riemannian manifolds and connections
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