Zeta Regularization Techniques With Applications

By: Emilio Elizalde, Sergei D. Odintsov, August Romeo

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Hardcover | 1 May 1994

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336 Pages

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22.23 x 15.88 x 1.91

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This book is the result of several years of work by the authors on different aspects of zeta functions and related topics. The aim is twofold. On one hand, a considerable number of useful formulas, essential for dealing with the different aspects of zeta-function regularization (analytic continuation, asymptotic expansions), many of which appear here, in book format, for the first time are presented. On the other hand, the authors show explicitly how to make use of such formulas and techniques in practical applications to physical problems of very different nature. Virtually all types of zeta functions are dealt with in the book.

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Preface
Riemann and Related Zeta Functions	p. 1
Zeta-Function Regularization of Sums Over Known Spectrum	p. 23
Zeta Function Regularization Generalized	p. 57
The Casimir Effect in Flat Spacetime	p. 79
Heat-Kernel and Zeta-Function Regularization Techniques in the Theory of Quantum Fields on Hyperbolic Space	p. 135
Quantum Properties of Extended Objects	p. 173
Finite-Temperature Effects in Quantum Field Theory	p. 211
String Theory at Non-Zero Temperature	p. 231
Covariant Effective Action in 2D Gravity	p. 261
Appendix: Calculation of Heat-Kernel Coefficients	p. 285
Index	p. 317
Table of Contents provided by Blackwell. All Rights Reserved.

Zeta Regularization Techniques With Applications

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