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Zetafunction regularization is a powerful method in perturbation theory, and this book is a comprehensive guide for the student of this subject. Everything is explained in detail, in particular the mathematical difficulties and tricky points, and several applications are given to show how the procedure works in practice, for example in the Casimir effect, gravity and string theory, hightemperature phase transition, topological symmetry breaking, and noncommutative spacetime. The formulae, some of which are new, can be directly applied in creating physically meaningful, accurate numerical calculations. The book acts both as a basic introduction and a collection of exercises for those who want to apply this regularization procedure in practice.
Thoroughly revised, updated and expanded, this new edition includes novel, explicit formulas on the general quadratic, the ChowlaSelberg series case, an interplay with the Hadamard calculus, and also features a fresh chapter on recent cosmological applications, including the calculation of the vacuum energy fluctuations at large scale in braneworld and other models.
Series: Lecture Notes in Physics, Vol. 855
Elizalde, Emilio 2012
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Series: Lecture Notes in Physics Monographs, M 35
Elizalde, Emilio 1995, or go to the Latest Edition
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ISBN 9783540447573
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