Conformally Invariant Boundary Conditions for Dilaton Gravity

Abstract

Quantum mechanical boundary conditions along a timelike line, corresponding to the origin in radial coordinates, in two-dimensional dilaton gravity coupled to $N$ matter fields, are considered. Conformal invariance and vacuum stability severely constrain the possibilities. The simplest choice found corresponds to a nonlinear Liouville-type boundary interaction. The scattering of low-energy matter off the boundary can be computed perturbatively. It is found that weak incident pulses induce damped oscillations at the boundary while large incident pulses produce black holes. The response of the boundary to such pulses is semi-classically characterized by a second order, nonlinear ordinary differential equation which is analyzed numerically.

23 pages, 5 figures, (references added and figures included in a uuencoded file)

References in corpus (5)

• Free Fermion Representation of a Boundary Conformal Field Theory
• Quantum Black Hole Evaporation
• Dynamical Moving Mirrors and Black Holes
• Black Hole Formation and Space-Time Fluctuations in Two Dimensional Dilaton Gravity and Complementarity
• Black Holes and Open Strings

Cited by in corpus (18)

• Black hole thermodynamics and information loss in two dimensions
• Islands in Asymptotically Flat 2D Gravity
• A Possible Resolution of the Black Hole Information Puzzle
• Black Hole Entropy in Two Dimensions
• Semi-infinite Throat as the End-state Geometry of two-dimensional Black Hole Evaporation
• Hawking Radiation and Unitary evolution
• Breakdown of the semiclassical approximation at the black hole horizon
• Entropy in the RST Model
• Predictability and Semiclassical Approximation at the onset of Black Hole formation
• Quantum Naked Singularities in 2d Dilaton Gravity
• Dilaton gravity with a boundary: from unitarity to black hole evaporation
• Real decoupling ghost quantization of the CGHS model for two dimensional black holes
• Exact solutions and critical chaos in dilaton gravity with a boundary
• QUANTUM CORRECTIONS AND EXTREMAL BLACK HOLES
• Semiclassical S-matrix and black hole entropy in dilaton gravity
• Lorentz Anomaly and 1+1-Dimensional Radiating Black Holes
• Entropy of Localized States and Black Hole Evaporation
• Black hole mining in the RST model