The Virtual Black Hole in 2d Quantum Gravity and its Relevance for the S-matrix

Abstract

As shown recently 2d quantum gravity theories -- including spherically reduced Einstein-gravity -- after an exact path integral of its geometric part can be treated perturbatively in the loops of (scalar) matter. Obviously the classical mechanism of black hole formation should be contained in the tree approximation of the theory. This is shown to be the case for the scattering of two scalars through an intermediate state which by its effective black hole mass is identified as a "virtual black hole". We discuss the lowest order tree vertex for minimally and non-minimally coupled scalars and find a non-trivial finite S-matrix for gravitational s-wave scattering in the latter case.

4 pages, Talk given at the Fifth Workshop on "Quantum Field Theory under the Influence of External Conditions" in Leipzig, Sept. 2001

References in corpus (2)

• S-matrix for s-wave gravitational scattering
• Quantum Dilaton Gravity in Two Dimensions with Matter

Cited by in corpus (6)

• Dilaton Gravity in Two Dimensions
• Virtual Black Holes in Generalized Dilaton Theories (and Their Special Role in String Gravity)
• Long time black hole evaporation with bounded Hawking flux
• Black Hole Thermodynamics and Hamilton-Jacobi Counterterm
• Logarithmic corrections to the entropy of the exact string black hole
• Wave Function of the Universe from a Matrix Valued First-Order Formalism