Quantum Gravitation. The Feynman Path Integral Approach (Springer, 2009) - H.W. Hamber.pdf


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Quantum Gravitation
Herbert W. Hamber
Quantum Gravitation
The Feynman Path Integral Approach
123
Prof. Dr. Herbert W. Hamber
University of California, Irvine
Department of Physics and Astronomy
Frederick Reines Hall
Irvine, CA 92697, USA
ISBN: 978-3-540-85292-6 e-ISBN: 978-3-540-85293-3
Library of Congress Control Number: 2008936266
c Springer-Verlag Berlin Heidelberg 2009
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 to prosecution under the German Copyright Law.
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.
Cover design: eStudio Calamar .
Printed on acid-free paper
987654321
To Franca, Jane and Lawrence
Preface
Almost a century has gone by since the discovery of general relativity and quantum
mechanics, yet the goal of finding a consistent theory of quantum gravity he-
less remains elusive. After the two major triumphs of modern quantum field theory,
quantum electrodynamics and the quantization of non-abelian gauge theories (in-
cluding quantum chromodynamics and the electro-weak theory) the early seventies
provided high hopes that a quantum treatment of general relativity might be around
the corner. However, to the dismay of many, the results of t’ Hooft and Veltman con-
clusively established that quantum gravity is not perturbat

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