Quantum production of black holes
Abstract
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.
- Publication:
-
Physics Letters B
- Pub Date:
- February 2003
- DOI:
- 10.1016/S0370-2693(03)00012-1
- arXiv:
- arXiv:hep-ph/0203154
- Bibcode:
- 2003PhLB..555...92H
- Keywords:
-
- General Relativity and Quantum Cosmology;
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- 10 pages, latex