Hadamard regularization in Schwarzschild spacetime: Israel-Hartle-Hawking vacuum

Details Hadamard regularization in Schwarzschild spacetime: Israel-Hartle-Hawking vacuum Hadamard regularization in Schwarzschild spacetime: Israel-Hartle-Hawking vacuum

Jan 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phrvd..53..794m&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 53, Issue 2, 15 January 1996, pp.794-800

Physics

9

Quantum Field Theory In Curved Spacetime, Quantum Aspects Of Black Holes, Evaporation, Thermodynamics

Scientific paper

Approximate regularized expectation values of the stress-energy tensor reg and the field fluctuation <φ2>reg of the masslesss, conformally invariant, scalar field in the Israel-Hartle-Hawking vacuum state in Schwarzschild spacetime is constructed by means of Hadamard regularization. It is shown that, solving the constraint equation with appropriate boundary conditions, it is possible to construct a simple expression that reproduces the exact <φ2>reg with great accuracy. The one parameter family of reg is derived. It is argued that after a suitable choice of parameter the approximation is obtained which is in excellent agreement with the earlier numerical results. The formulas presented may be regarded as a natural and simple generalization of existing polynomial approximations. The case of the Boulware vacuum is briefly discussed.

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