Zeta Regularization Techniques With ApplicationsWorld Scientific, 16 may 1994 - 336 páginas 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. |
Índice
| 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 |
| 317 | |
Términos y frases comunes
A.A. Bytsenko analytic continuation asymptotic expansion behaviour bosonic string boundary conditions calculation Casimir effect Casimir energy Chap classical coefficients compact hyperbolic compute consider constant contribution convergence corresponding covariant curvature cutoff defined derivative dimensional dimensions Dirichlet divergence effective action eigenvalues Elizalde elliptic equation evaluation expression finite free energy gauge given gravity Hagedorn temperature heat kernel HN/T Hurwitz zeta function infinity integrand invariant isometries J.S. Dowker Kaluza-Klein Laplacian Lett Math membrane meromorphic method metric Nucl obtained one-loop operator p-brane parameter partition function Phys plates pole potential procedure quantization quantum field Quantum Grav renormalization result Riemann spheres Riemann zeta function S.D. Odintsov scalar field Selberg trace formula space spacetime spinor string theory subsection supermembrane superstring surface topology transform vacuum energy vanishing Witt zero modes zeta function regularization zeta-function regularization