Conformally Invariant Boundary Conditions for Dilaton Gravity

Details Conformally Invariant Boundary Conditions for Dilaton Gravity Conformally Invariant Boundary Conditions for Dilaton Gravity

1994-05-13

arxiv.org/abs/hep-th/9405084v2

Phys.Rev.D50:5177-5187,1994

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.50.5177

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.

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