Title: Ten physical applications of spectral zeta functions
First published: 1995
Description: Zeta-function regularization is a powerful method in perturbation theory. This book is meant as a 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 (e.g. Casimir effect, gravity and string theory, high-temperature phase transition, topological symmetry breaking). The formulas some of which are new can be used for accurate numerical calculations. The book is to be considered as a basic introduction and a collection of exercises for those who want to apply this regularization procedure in practice.
Subjects: Functions, Zeta, Mathematical physics, Zeta Functions, Statistical physics, Thermodynamics, Quantum theory, Physics, Quantum computing, Information and Physics Quantum Computing
LC classification: QC20.7.F87 E45 1995