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Author:   Andrei A Bytsenko (Univ Estadual De Londrina, Brazil) ,  Emilio Elizalde (Ieec/csic & Univ Of Barcelona, Spain) ,  Sergei D Odintsov (Inst De Ciencies De L'espai, Spain) ,  August Romeo (Univ Barcelona, Spain)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789810214418

ISBN 10:   9810214413
Pages:   336
Publication Date:   01 May 1994
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Part 1 The Riemann Zeta function: Riemann, Hurwitz, Epstein, Selberg and related zeta functions; analytic continuation - practical uses for series summation; asymptotic expansion of zeta . Part 2 Zeta-function regularization of sums over known spectrum: the zeta-function regularization theorem; multiple zeta-functions with arbitrary exponents. Part 3 Zeta-function regularization when the spectrum is not known: zeta-function vs heat-kernel regularization; small- t asymptotic expansion of the heat-kernel. Part 4 The Casimir effect in flat space-time with compact spatial part: simply connected compact manifold with constant curvature; the Selberg trace formula for compact hyperbolic manifolds. Part 5 Finite temperature effects for theories defined on compact hyperbolic manifolds: basic formalism for the finite-temperature effective potential; the finite-temperature thermodynamic potential for manifolds with a compact spatial part. Part 6 Properties of the chemical potential in higher-dimensional manifolds: the flat-manifold case; the constant non-zero curvature case. Part 7 Strings at non-zero temperature and 2d gravity: free energy for the Bosonic string; vacuum energy for Torus compactified strings. Part 8 Membranes at non-zero temperatures: supermembrane free energy; free energy for the compactified supermembranes and modular invariance; and others.

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