Back-Reaction and Complementarity in 1+1 Dilaton Gravity

TL;DR

This paper investigates how self-interactions and back-reaction effects in 1+1 dilaton gravity influence Hawking radiation, revealing potential observable deviations from thermality and supporting the concept of black hole complementarity.

Contribution

It provides a detailed analysis of back-reaction and self-interactions in 1+1 dilaton gravity, highlighting their impact on Hawking radiation and the limitations of semiclassical approximations.

Findings

Self-interactions cause frequency renormalization of outgoing modes.

Large scattering phases occur in modes due to dynamical background.

The in-out scattering matrix does not commute with self-interactions, implying possible observable corrections.

Abstract

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.