Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-11-21
Phys.Rev. D53 (1996) 7050-7061
Physics
High Energy Physics
High Energy Physics - Theory
29 pages of LATEX, with 2 (included) figures
Scientific paper
10.1103/PhysRevD.53.7050
We discuss in detail the semiclassical approximation for the CGHS model of two-dimensional dilatonic black holes. This is achieved by a formal expansion of the full Wheeler-DeWitt equation and the momentum constraint in powers of the gravitational constant. In highest order, the classical CGHS solution is recovered. The next order yields a functional Schr\"odinger equation for quantum fields propagating on this background. We show explicitly how the Hawking radiation is recovered from this equation. Although described by a pure quantum state, the expectation value of the number operator exhibits a Planckian distribution with respect to the Hawking temperature. We then show how this Hawking radiation can lead to the decoherence of black hole superpositions. The cases of a superposition of a black hole with a white hole, as well as of a black hole with no hole, are treated explicitly.
Demers Jean-Guy
Kiefer Claus
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