Description

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.

Langue

en

Version

livre numérique

Date de sortie initiale

06 octobre 2017

Illustrations

Non

Personnes impliquées

Auteur principal

Davide Fermi

Deuxième auteur

Livio Pizzocchero

Editeur principal

World Scientific

Options de lecture

Lisez cet ebook sur

Lecteur électronique KoboiOS (smartphone et tablette)Windows (smartphone et tablette)Ordinateur de bureau (Mac et Windows)Android (smartphone et tablette)

Informations sur le fabricant

Informations sur le fabricant

Les informations du fabricant ne sont actuellement pas disponibles

Autres spécifications

Livre d‘étude

Non

EAN

EAN

9789813225015

Sécurité des produits

Opérateur économique responsable dans l’UE

Afficher les données

Vous trouverez cet article :

Catégories

Science et nature

Physique

Physique quantique

Livres

Livre, ebook ou livre audio ?

Ebook

Disponibilité

Disponible à l’adresse suivante

Langue

Anglais

Toegankelijkheidsinformatie

Bevat toegankelijkheidskenmerken