Cargando…
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...
Autores principales: | , , |
---|---|
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 |
_version_ | 1780913439117410304 |
---|---|
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. |
id | cern-1074089 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2007 |
record_format | invenio |
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 |