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.
Keywords
Cite
@article{arxiv.hep-th/0111138,
title = {The Virtual Black Hole in 2d Quantum Gravity and its Relevance for the S-matrix},
author = {D. Grumiller},
journal= {arXiv preprint arXiv:hep-th/0111138},
year = {2009}
}
Comments
4 pages, Talk given at the Fifth Workshop on "Quantum Field Theory under the Influence of External Conditions" in Leipzig, Sept. 2001