Quantum Production of Black Holes

Details Quantum Production of Black Holes Quantum Production of Black Holes

2002-03-16

arxiv.org/abs/hep-ph/0203154v2

Phys.Lett.B555:92-98,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, latex; Minor revisions, to appear in Physics Letters B

Scientific paper

10.1016/S0370-2693(03)00012-1

We give a path integral expression for the quantum amplitude to produce a black hole from particle collisions. When expanded about an appropriate classical solution it yields the leading order contribution to the production amplitude in a curvature expansion. Classical solutions describing black hole production resulting from two particle scattering at non-zero impact parameter, combined with our formalism, indicate a geometric cross section for the quantum process. In TeV gravity scenarios these solutions may exhibit large curvatures, but (modulo a mild assumption about quantum gravity) corrections to the semi-classical cross section are small.

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