Ten physical applications of spectral zeta functions
By: Emilio Elizalde.
Series: Lecture notes in physics.; m35
Publisher: Springer
Published: 1995
Place of publication: Berlin; New York
Language: eng
Number of pages: 224
Subjects: Functions, Zeta.; Mathematical physics.
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.
Notes: Includes bibliographical references (p. [209]-219) and index.