Zeta Regularization Techniques With Applications

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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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CHAPTER 1 RIEMANN AND RELATED ZETA FUNCTIONS
1
CHAPTER 2 ZETAFUNCTION REGULARIZATION OF SUMS OVER KNOWN SPECTRUM
23
CHAPTER 3 ZETA FUNCTION REGULARIZATION GENERALIZED
57
CHAPTER 4 THE CASIMIR EFFECT IN FLAT SPACETIME
79
CHAPTER 5 HEATKERNEL AND ZETAFUNCTION REGULARIZATION TECHNIQUES IN THE THEORY OF QUANTUM FIELDS ON HYPER...
135
CHAPTER 6 QUANTUM PROPERTIES OF EXTENDED OBJECTS
173
CHAPTER 7 FINITETEMPERATURE EFFECTS IN QUANTUM FIELD THEORY
211
CHAPTER 8 STRING THEORY AT NONZERO TEMPERATURE
231
CHAPTER 9 COVARIANT EFFECTIVE ACTION IN 2D GRAVITY
261
APPENDIX CALCULATION OF HEATKERNEL COEFFICIENTS 1
285
Index
317
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