Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-03-13
Phys.Rev.D76:064027,2007
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, 4 figures, harvmac. v2: added refs, minor clarifications
Scientific paper
10.1103/PhysRevD.76.064027
Quantum field theory in a semiclassical background can be derived as an approximation to quantum gravity from a weak-coupling expansion in the inverse Planck mass. Such an expansion is studied for evolution on "nice-slices" in the spacetime describing a black hole of mass M. Arguments for a breakdown of this expansion are presented, due to significant gravitational coupling between fluctuations, which is consistent with the statement that existing calculations of information loss in black holes are not reliable. For a given fluctuation, the coupling to subsequent fluctuations becomes of order unity by a time of order M^3. Lack of a systematic derivation of the weakly-coupled/semiclassical approximation would indicate a role for the non-perturbative dynamics of gravity, and possibly for the proposal that such dynamics has an essentially non-local quality.
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