APS » PROLA » Phys. Rev. D » Volume 63 » Issue 8

Phys. Rev. D 63, 084029 (2001) [10 pages]

Vacuum polarization in the Schwarzschild spacetime and dimensional reduction

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R. Balbinot1 *, A. Fabbri1 †, P. Nicolini1 ‡, V. Frolov2 §, P. Sutton3 **, and A. Zelnikov2,4 ††
1Dipartimento di Fisica dell’Università di Bologna and INFN sezione di Bologna, Via Irnerio 46, 40126 Bologna, Italy
2Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2J1
3Department of Physics, The Pennsylvania State University, State College, Pennsylvania 16802-6300
4P.N. Lebedev Physics Institute, Leninsky pr. 53, Moscow 117924, Russia

Received 7 December 2000; published 28 March 2001

A massless scalar field minimally coupled to gravity and propagating in Schwarzschild spacetime is considered. After dimensional reduction under spherical symmetry the resulting 2D field theory is canonically quantized and the renormalized expectation values 〈Tab〉 of the relevant energy-momentum tensor operator are investigated. Asymptotic behaviors and analytical approximations are given for 〈Tab〉 in the Boulware, Unruh and Hartle-Hawking states. Special attention is devoted to the black-hole horizon region where the WKB approximation breaks down.


©2001 The American Physical Society

URL: http://link.aps.org/abstract/PRD/v63/e084029
DOI: 10.1103/PhysRevD.63.084029
PACS: 04.62.+v, 11.10.Gh, 11.10.Kk

* Electronic address: balbinot@bo.infn.it
† Electronic address: fabbria@bo.infn.it
‡ Electronic address: nicolini@bo.infn.it
§ Electronic address: frolov@phys.ualberta.ca
** Electronic address: psutton@gravity.phys.psu.edu
†† Electronic address: zelnikov@phys.ualberta.ca

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