Operators, Geometry and Quanta Methods of Spectral Geometry in Quant
This book gives a detailed and self-contained introduction into the theory of spectral functions, with an emphasis on their applications to quantum field theory. All methods are illustrated with applications to specific physical problems from the forefron
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Theoretical and Mathematical Physics The series founded in 1975 and formerly (until 2005) entitled Texts and Monographs in Physics (TMP) publishes high-level monographs in theoretical and mathematical physics. The change of title to Theoretical and Mathematical Physics (TMP) signals that the series is a suitable publication platform for both the mathematical and the theoretical physicist. The wider scope of the series is reflected by the composition of the editorial board, comprising both physicists and mathematicians. The books, written in a didactic style and containing a certain amount of elementary background material, bridge the gap between advanced textbooks and research monographs. They can thus serve as basis for advanced studies, not only for lectures and seminars at graduate level, but also for scientists entering a field of research.
Editorial Board W. Beiglböck, Institute of Applied Mathematics, University of Heidelberg, Heidelberg, Germany P. Chrusciel, Gravitational Physics, University of Vienna, Vienna, Austria J.-P. Eckmann, Université de Genève, Département de Physique Théorique, Geneva, Switzerland H. Grosse, Institute of Theoretical Physics, University of Vienna, Vienna, Austria A. Kupiainen, Department of Mathematics, University of Helsinki, Helsinki, Finland H. Löwen, Institute of Theoretical Physics, Heinrich-Heine-University of Duesseldorf, Duesseldorf, Germany M. Loss, School of Mathematics, Georgia Institute of Technology, Atlanta, USA N.A. Nekrasov, IHÉS, Bures-sur-Yvette, France M. Ohya, Tokyo University of Science, Noda, Japan M. Salmhofer, Institute of Theoretical Physics, University of Heidelberg, Heidelberg, Germany S. Smirnov, Mathematics Section, University of Geneva, Geneva, Switzerland L. Takhtajan, Department of Mathematics, Stony Brook University, Stony Brook, USA J. Yngvason, Institute of Theoretical Physics, University of Vienna, Vienna, Austria
For other titles published in this series, go to www.springer.com/series/720
Dmitri Fursaev Dmitri Vassilevich
Operators, Geometry and Quanta Methods of Spectral Geometry in Quantum Field Theory
Dmitri Fursaev Dubna International University Universitetskaya St. 19 141980 Dubna Russia [email protected]
Dmitri Vassilevich CMCC Universidade Federal do ABC Rua Santa Adelia 166 09210-170 Santo Andre Brazil [email protected]
ISSN 1864-5879 e-ISSN 1864-5887 ISBN 978-94-007-0204-2 e-ISBN 978-94-007-0205-9 DOI 10.1007/978-94-007-0205-9 Springer Dordrecht Heidelberg London New York Library of Congress Control Number: 2011932314 © Springer Science+Business Media B.V. 2011 No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Cover design: VTeX UAB, Lithuania Printed on acid-free pa
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