Overview
- Authored by a leading expert in the field
- Tutorial and self-contained presentation
- Contains both theory and applications
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Physics (LNP, volume 855)
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Table of contents (10 chapters)
Keywords
About this book
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.
Authors and Affiliations
About the author
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.
Bibliographic Information
Book Title: Ten Physical Applications of Spectral Zeta Functions
Authors: Emilio Elizalde
Series Title: Lecture Notes in Physics
DOI: https://doi.org/10.1007/978-3-642-29405-1
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2012
Softcover ISBN: 978-3-642-29404-4Published: 07 June 2012
eBook ISBN: 978-3-642-29405-1Published: 31 May 2012
Series ISSN: 0075-8450
Series E-ISSN: 1616-6361
Edition Number: 2
Number of Pages: XIV, 227
Number of Illustrations: 14 b/w illustrations
Topics: Mathematical Methods in Physics, Mathematical Physics, Quantum Field Theories, String Theory, Mathematical Applications in the Physical Sciences