S-matrix and Quantum Tunneling in Gravitational Collapse

Details S-matrix and Quantum Tunneling in Gravitational Collapse S-matrix and Quantum Tunneling in Gravitational Collapse

2008-07-14

arxiv.org/abs/0807.2117v1

JHEP 0811:047,2008

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 4 figures, latex

Scientific paper

10.1088/1126-6708/2008/11/047

Using the recently introduced ACV reduced-action approach to transplanckian scattering of light particles, we show that the $S$-matrix in the region of classical gravitational collapse is related to a tunneling amplitude in an effective field space. We understand in this way the role of both real and complex field solutions, the choice of the physical ones, the absorption of the elastic channel associated to inelastic multigraviton production and the occurrence of extra absorption below the critical impact parameter. We are also able to compute a class of quantum corrections to the original semiclassical $S$-matrix that we argue to be qualitatively sensible and which, generally speaking, tend to smooth out the semiclassical results.

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