Quantum Tunneling and Unitarity Features of an S-matrix for Gravitational Collapse

Details Quantum Tunneling and Unitarity Features of an S-matrix for Gravitational Collapse Quantum Tunneling and Unitarity Features of an S-matrix for Gravitational Collapse

2009-09-24

arxiv.org/abs/0909.4523v1

JHEP 0912:062,2009

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 11 figures

Scientific paper

10.1088/1126-6708/2009/12/062

Starting from the semiclassical reduced-action approach to transplanckian scattering by Amati, Veneziano and one of us and from our previous quantum extension of that model, we investigate the S-matrix expression for inelastic processes by extending to this case the tunneling features previously found in the region of classical gravitational collapse. The resulting model exhibits some non-unitary S-matrix eigenvalues for impact parameters b < b_c, a critical value of the order of the gravitational radius R = 2 G sqrt(s), thus showing that some (inelastic) unitarity defect is generally present, and can be studied quantitatively. We find that S-matrix unitarity for b < b_c is restored only if the rapidity phase-space parameter y is allowed to take values larger than the effective coupling G s / hbar itself. Some features of the resulting unitary model are discussed.

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