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

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

2001-11-15

arxiv.org/abs/hep-th/0111138v1

Int.J.Mod.Phys. A17 (2002) 989-992

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1142/S0217751X02010406

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.

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