2000/01/14 by D. Grumiller, W. Kummer, D. V. Vassilevich +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Boundary (topology) #Extremal black hole #Noncommutative and Quantum Gravity Theories #Path integral formulation #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum gravity #Rotating black hole #Virtual black hole #gr-qc #hep-th
paper · pdf · doi:10.1016/s0550-3213(00)00231-5
published as Nucl.Phys. B580 (2000) 438-456 · 24 pages, 3 figures
arxiv created 2000/01/14 · openalex publication_date 2000/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
As shown recently (W. Kummer, H. Liebl, D.V. Vassilevich, Nucl. Phys. B 544, 403 (1999)) 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''. 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 S-matrix element is obtained.