Vacuum polarization in the Schwarzschild spacetime and dimensional reduction

Details Vacuum polarization in the Schwarzschild spacetime and dimensional reduction Vacuum polarization in the Schwarzschild spacetime and dimensional reduction

2000-12-06

arxiv.org/abs/hep-th/0012048v2

Phys.Rev.D63:084029,2001

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX (revtex), 13 pages, address and some minor misprints corrected

Scientific paper

10.1103/PhysRevD.63.084029

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

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