Back-Reaction and Complementarity in 1+1 Dilaton Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX, 37 pages, 6 PostScript figures. (Reference added - version to appear in Nuclear Physics B.)

Scientific paper

10.1016/0550-3213(96)00047-8

We study radiation from black holes in the effective theory produced by integrating gravity and the dilaton out of $1+1$ dilaton gravity. The semiclassical wavefunctions for the dressed particles show that the self-interactions produce an unusual renormalization of the frequencies of outgoing states. Modes propagating in the dynamical background of an incoming quantum state are seen to acquire large scattering phases that nevertheless conspire, in the absence of self-interactions, to preserve the thermality of the Hawking radiation. However, the in-out scattering matrix does not commute with the self-interactions and this could lead to observable corrections to the final state. Finally, our calculations explicitly display the limited validity of the semiclassical theory of Hawking radiation and provide support for a formulation of black hole complementarity.

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