Conformally invariant quantum field theory in static Einstein space-times

Journal Article · Thu May 15 00:00:00 EDT 1986 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.33.2840· OSTI ID:5714086

Brown, M R; Ottewill, A C; Page, D N

The conformal transformation law for the renormalized one-loop effective action is used to give approximate renormalized stress tensors for conformally invariant scalar, spinor, and vector field theories on static Einstein space-times, paying particular attention to the ambiguous coefficient of the term D'AlembertianR in the vector trace anomaly. In black-hole space-times these tensors for the Hartle-Hawking thermal state are shown to be regular on the horizon. Geometrical expressions are given for the approximate energy densities there; these can all be expressed in terms of the scalar invariant C/sub munurhotau/C/sup munurhotau/. A number of explicit examples are presented, including Schwarzschild space-time. In flat and conformally flat space-times these approximate stress tensors agree with the exact results wherever the latter are known. In more complicated space-times, where we do not always obtain the exact results, a brief discussion is given of how to obtain a more accurate approximation.

• Research Organization: Department of Astrophysics, University of Oxford, South Parks Road, Oxford OX1 3RQ, England
• OSTI ID: 5714086
• Journal Information: Phys. Rev. D; (United States), Vol. 33:10
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
CONFORMAL INVARIANCE
SPACE-TIME
BLACK HOLES
EINSTEIN FIELD EQUATIONS
RENORMALIZATION
SCALAR FIELDS
SO GROUPS
SPINORS
VECTOR FIELDS
WKB APPROXIMATION
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
LIE GROUPS
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory