Smirnov V.A. Feynman Integral Calculus (Springer, 2006)(600dpi).pdf


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Feynman Integral Calculus
Vladimir A. Smirnov
Feynman Integral Calculus
ABC
Vladimir A. Smirnov
Lomonosov Moscow State University
Skobeltsyn Institute of Nuclear Physics
Moscow 119992, Russia
E-mail: ******@
Library of Congress Control Number: 2006927416
ISBN-10 3-540-30610-2 Springer Berlin Heidelberg New York
ISBN-13 978-3-540-30610-8 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, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting,
reproduction on microfilm 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
c Springer-Verlag Berlin Heidelberg 2006
Printed in herlands
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.
Typesetting: by the author and techbooks using a Springer LATEX macro package
Cover design: design & production GmbH, Heidelberg
Printed on acid-free paper SPIN: 11524106 56/techbooks 543210
Preface
This is a textbook version of my previous book [190]. Problems and solutions
have been included, Appendix G has been added, more details have been
presented, recent publications on evaluating Feynman integrals have been
taken into account and the bibliography has been updated.
The goal of the book is to describe in detail how Feynman integrals1 can be
evaluated analytically. The problem of evaluating L

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