The virtual black hole in 2d quantum gravity
Abstract
As shown recently (W. Kummer, H. Liebl, D.V. Vassilevich, Nucl. Phys. B 544 (1999) 403) 2d quantum gravity theories — including spherically reduced Einsteingravity — 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". The present discussion is restricted to minimally coupled scalars without and with mass. In the first case the probability amplitude diverges, except the black hole is "plugged" by a suitable boundary condition. For massive scalars a finite Smatrix element is obtained.
 Publication:

Nuclear Physics B
 Pub Date:
 July 2000
 DOI:
 10.1016/S05503213(00)002315
 arXiv:
 arXiv:grqc/0001038
 Bibcode:
 2000NuPhB.580..438G
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 24 pages, 3 figures