Local Zeta Regularization And The Scalar Casimir Effect A General Approach Based On Integral Kernels is popular PDF and ePub book, written by Davide Fermi in 2017-10-06, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Local Zeta Regularization And The Scalar Casimir Effect A General Approach Based On Integral Kernels can be Read Online from any device for your convenience.
Local Zeta Regularization And The Scalar Casimir Effect A General Approach Based On Integral Kernels Book PDF Summary
Zeta regularization is a method to treat the divergent quantities appearing in several areas of mathematical physics and, in particular, in quantum field theory; it is based on the fascinating idea that a finite value can be ascribed to a formally divergent expression via analytic continuation with respect to a complex regulating parameter.This book provides a thorough overview of zeta regularization for the vacuum expectation values of the most relevant observables of a quantized, neutral scalar field in Minkowski spacetime; the field can be confined to a spatial domain, with suitable boundary conditions, and an external potential is possibly present. Zeta regularization is performed in this framework for both local and global observables, like the stress-energy tensor and the total energy; the analysis of their vacuum expectation values accounts for the Casimir physics of the system. The analytic continuation process required in this setting by zeta regularization is deeply linked to some integral kernels; these are determined by the fundamental elliptic operator appearing in the evolution equation for the quantum field. The book provides a systematic illustration of these connections, devised as a toolbox for explicit computations in specific configurations; many examples are presented. A comprehensive account is given of the existing literature on this subject, including the previous work of the authors.The book will be useful to anyone interested in a mathematically sound description of quantum vacuum effects, from graduate students to scientists working in this area.
Detail Book of Local Zeta Regularization And The Scalar Casimir Effect A General Approach Based On Integral Kernels PDF
- Author : Davide Fermi
- Release : 06 October 2017
- Publisher : World Scientific
- ISBN : 9789813225015
- Genre : Science
- Total Page : 274 pages
- Language : English
- PDF File Size : 12,8 Mb
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