Ten Physical Applications of Spectral Zeta Functions [electronic resource] /
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.
Main Authors: | , |
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Format: | Texto biblioteca |
Language: | eng |
Published: |
Berlin, Heidelberg : Springer Berlin Heidelberg,
1995
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Subjects: | Physics., Quantum physics., Thermodynamics., Quantum computers., Spintronics., Statistical physics., Dynamical systems., Quantum Physics., Quantum Information Technology, Spintronics., Statistical Physics, Dynamical Systems and Complexity., |
Online Access: | http://dx.doi.org/10.1007/978-3-540-44757-3 |
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Summary: | 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. |
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