Two-loop Back-reaction in 2D Dilaton Gravity

Abstract

We calculate the two-loop quantum corrections, including the back-reaction of the Hawking radiation, to the one-loop effective metric in a unitary gauge quantization of the CGHS model of 2d dilaton gravity. The corresponding evaporating black hole solutions are analysed, and consistent semi-classical geometries appear in the weak-coupling region of the spacetime when the width of the matter pulse is larger then the short-distance cutoff. A consistent semi-classical geometry also appears in the limit of a shock-wave matter. The Hawking radiation flux receives non-thermal corrections such that it vanishes for late times and the total radiated mass is finite. There are no static remnants for matter pulses of finite width, although a BPP type static remnant appears in the shock-wave limit. Semi-classical geometries without curvature singularities can be obtained as well. Our results indicate that higher-order loop corrections can remove the singularities encountered in the one-loop solutions.

28 pages, 6 Postscript figures, LaTex

References in corpus (5)

• Physical States in Matter-Coupled Dilaton Gravity
• Semi-infinite Throat as the End-state Geometry of two-dimensional Black Hole Evaporation
• Hawking Radiation and Unitary evolution
• Hawking Radiation and Back-Reaction in a Unitary Theory of 2D Quantum Gravity
• Unitary Theory of Evaporating 2D Black Holes

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