Ten Physical Applications of Spectral Zeta Functions

Ten Physical Applications of Spectral Zeta Functions - Lecture Notes in Physics

2nd Edition

Paperback (07 Jun 2012)

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Publisher's Synopsis

Zeta-function 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, high-temperature phase transition, topological symmetry breaking, and non-commutative 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 Chowla-Selberg 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.

Book information

ISBN: 9783642294044
Publisher: Springer Berlin Heidelberg
Imprint: Springer
Pub date:
Edition: 2nd Edition
DEWEY: 530.15556
DEWEY edition: 23
Language: English
Number of pages: 227
Weight: 379g
Height: 234mm
Width: 156mm
Spine width: 13mm