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Towards an S-matrix Description of Gravitational Collapse

Extending our previous results on trans-Planckian ($Gs \gg \hbar$) scattering of light particles in quantum string-gravity we present a calculation of the corresponding S-matrix from the region of large impact parameters ($b \gg G\sqrt{s}>\lambda_s$) down to the regime where classical gravitation...

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Detalles Bibliográficos
Autores principales: Amati, D., Ciafaloni, M., Veneziano, G.
Lenguaje:eng
Publicado: 2007
Materias:
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2008/02/049
http://cds.cern.ch/record/1074089
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author Amati, D.
Ciafaloni, M.
Veneziano, G.
author_facet Amati, D.
Ciafaloni, M.
Veneziano, G.
author_sort Amati, D.
collection CERN
description Extending our previous results on trans-Planckian ($Gs \gg \hbar$) scattering of light particles in quantum string-gravity we present a calculation of the corresponding S-matrix from the region of large impact parameters ($b \gg G\sqrt{s}>\lambda_s$) down to the regime where classical gravitational collapse is expected to occur. By solving the semiclassical equations of a previously introduced effective-action approximation, we find that the perturbative expansion around the leading eikonal result diverges at a critical value $b = b_c = O(G\sqrt{s})$, signalling the onset of a new (black-hole related?) regime. We then discuss the main features of our explicitly unitary S-matrix -- and of the associated effective metric -- down to (and in the vicinity of) $b = b_c$, and present some ideas and results on its extension all the way to the $ b \to 0$ region. We find that for $b<b_c$ the physical field solutions are complex-valued and the S-matrix shows additional absorption, related to a new production mechanism. The field solutions themselves are, surprisingly, everywhere regular, suggesting a quantum-tunneling -- rather than a singular-geometry -- situation.
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spelling cern-10740892023-03-14T18:13:32Zdoi:10.1088/1126-6708/2008/02/049http://cds.cern.ch/record/1074089engAmati, D.Ciafaloni, M.Veneziano, G.Towards an S-matrix Description of Gravitational CollapseParticle Physics - TheoryExtending our previous results on trans-Planckian ($Gs \gg \hbar$) scattering of light particles in quantum string-gravity we present a calculation of the corresponding S-matrix from the region of large impact parameters ($b \gg G\sqrt{s}>\lambda_s$) down to the regime where classical gravitational collapse is expected to occur. By solving the semiclassical equations of a previously introduced effective-action approximation, we find that the perturbative expansion around the leading eikonal result diverges at a critical value $b = b_c = O(G\sqrt{s})$, signalling the onset of a new (black-hole related?) regime. We then discuss the main features of our explicitly unitary S-matrix -- and of the associated effective metric -- down to (and in the vicinity of) $b = b_c$, and present some ideas and results on its extension all the way to the $ b \to 0$ region. We find that for $b<b_c$ the physical field solutions are complex-valued and the S-matrix shows additional absorption, related to a new production mechanism. The field solutions themselves are, surprisingly, everywhere regular, suggesting a quantum-tunneling -- rather than a singular-geometry -- situation.Extending our previous results on trans-Planckian ($Gs \gg \hbar$) scattering of light particles in quantum string-gravity we present a calculation of the corresponding S-matrix from the region of large impact parameters ($b \gg G\sqrt{s}>\lambda_s$) down to the regime where classical gravitational collapse is expected to occur. By solving the semiclassical equations of a previously introduced effective-action approximation, we find that the perturbative expansion around the leading eikonal result diverges at a critical value $b = b_c = O(G\sqrt{s})$, signalling the onset of a new (black-hole related?) regime. We then discuss the main features of our explicitly unitary S-matrix -- and of the associated effective metric -- down to (and in the vicinity of) $b = b_c$, and present some ideas and results on its extension all the way to the $ b \to 0$ region. We find that for $b<b_c$ the physical field solutions are complex-valued and the S-matrix shows additional absorption, related to a new production mechanism. The field solutions themselves are, surprisingly, everywhere regular, suggesting a quantum-tunneling -- rather than a singular-geometry -- situation.arXiv:0712.1209CERN-PH-TH-2007-254CERN-PH-TH-2007-254oai:cds.cern.ch:10740892007-12-10
spellingShingle Particle Physics - Theory
Amati, D.
Ciafaloni, M.
Veneziano, G.
Towards an S-matrix Description of Gravitational Collapse
title Towards an S-matrix Description of Gravitational Collapse
title_full Towards an S-matrix Description of Gravitational Collapse
title_fullStr Towards an S-matrix Description of Gravitational Collapse
title_full_unstemmed Towards an S-matrix Description of Gravitational Collapse
title_short Towards an S-matrix Description of Gravitational Collapse
title_sort towards an s-matrix description of gravitational collapse
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/1126-6708/2008/02/049
http://cds.cern.ch/record/1074089
work_keys_str_mv AT amatid towardsansmatrixdescriptionofgravitationalcollapse
AT ciafalonim towardsansmatrixdescriptionofgravitationalcollapse
AT venezianog towardsansmatrixdescriptionofgravitationalcollapse