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Ten Physical Applications of Spectral Zeta Functions

  • Emilio Elizalde

Part of the Lecture Notes in Physics Monographs book series (LNPMGR, volume 35)

About this book

Introduction

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.

Keywords

Casimir effect Regularization methods Zeta function gravity perturbation theory phase transition string theory

Authors and affiliations

  • Emilio Elizalde
    • 1
  1. 1.Camí de Santa BàrbaraBlanes Center for Advanced Studies, CSICBlanesSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-44757-3
  • Copyright Information Springer Berlin Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-60230-9
  • Online ISBN 978-3-540-44757-3
  • Series Print ISSN 0940-7677
  • Buy this book on publisher's site