Quantum field theory on curved backgrounds. I: The Euclidean functional integral
type: Item
instance of: scholarly article
title: Quantum field theory on curved backgrounds. I: The Euclidean functional integral
zbMATH Open document ID: 1120.81065
author: Arthur Jaffe
author: William Gordon Ritter
published in: Communications in Mathematical Physics
publication date: 2007-05-31T00:00:00Z
full work available at URL: https://arxiv.org/abs/hep-th/0609003
review text: A mathematical construction of Euclidean quantum field theory on certain time-independent curved backgrounds is given. Instead of the algebraic techniques with Lorentzian signature used in the earlier approaches, the authors make use of Euclidean functional integral [\textit{J. Glimm}, and \textit{A. Jaffe}, Quantum Physics: a Functional Integral Point of View. 2nd ed. New York: Springer-Verlag (1987) (1981; Zbl 0461.46051] and Osterwalder-Schrader quantization [\textit{K. Osterwalder} and \textit{R. Schrader}, Commun. Math. Phys. 31, 83--112 (1973; Zbl 0274.46047); 42, 281--305 (1975; Zbl 0303.46034)]. Euclidean methods are known to be useful in the study of black holes, and a standard strategy for studying black hole (BH) thermodynamics is to analytically continue time in the BH metric [\textit{S. Carlip} and \textit{C. Teitelboim}, Phys. Rev. D (3) 51, No. 2, 622--631 (1995)], see also [\textit{M. B. Mensky}, Phys. Lett. A~314, 169--176 (2003; Zbl 1052.83523)], for a universal approach to general gravitational thermal effects). The reviewed paper implies a mathematical construction of scalar fields on any static, Euclidean BH background.
reviewed by: Michael B. Mensky
Mathematics Subject Classification ID: 81T20
Mathematics Subject Classification ID: 81S40
Mathematics Subject Classification ID: 81T08
Mathematics Subject Classification ID: 83C57
zbMATH DE Number: 5159692
zbMATH Keywords: Euclidean functional integral
zbMATH Keywords: QFT on curved backgrounds
MaRDI profile type: Publication
OpenAlex ID: W3098560144
arXiv ID: hep-th/0609003
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DOI: 10.1007/S00220-006-0166-2
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