Vacuum polarization in two-dimensional static spacetimes and dimensional reduction

Details Vacuum polarization in two-dimensional static spacetimes and dimensional reduction Vacuum polarization in two-dimensional static spacetimes and dimensional reduction

2002-02-06

arxiv.org/abs/hep-th/0202036v2

Phys.Rev.D66:024014,2002

Physics

High Energy Physics

High Energy Physics - Theory

REVTeX 4, 23 pages. Accepted by PRD. Minor modifications from original version

Scientific paper

10.1103/PhysRevD.66.024014

We obtain an analytic approximation for the effective action of a quantum scalar field in a general static two-dimensional spacetime. We apply this to the dilaton gravity model resulting from the spherical reduction of a massive, non-minimally coupled scalar field in the four-dimensional Schwarzschild geometry. Careful analysis near the event horizon shows the resulting two-dimensional system to be regular in the Hartle-Hawking state for general values of the field mass, coupling, and angular momentum, while at spatial infinity it reduces to a thermal gas at the black-hole temperature.

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