**
**

**Dvali, G.; Gomez, C.; Isermann, R. S.; Lüst, D. and Stieberger, S. (2015): Black hole formation and classicalization in ultra-Planckian 2 -> N scattering. In: Nuclear Physics B, Vol. 893: pp. 187-235 [PDF, 1MB]**

## Abstract

We establish a connection between the ultra-Planckian scattering amplitudes in field and string theory and unitarization by black hole formation in these scattering processes. Using as a guideline an explicit microscopic theory in which the black hole represents a bound-state of many soft gravitons at the quantum critical point, we were able to identify and compute a set of perturbative amplitudes relevant for black hole formation. These are the tree-level N-graviton scattering S-matrix elements in a kinematical regime (called classicalization limit) where the two incoming ultra-Planckian gravitons produce a large number N of soft gravitons. We compute these amplitudes by using the Kawai-Lewellen-Tye relations, as well as scattering equations and string theory techniques. We discover that this limit reveals the key features of the microscopic corpuscular black hole N-portrait. In particular, the perturbative suppression factor of a N-graviton final state, derived from the amplitude, matches the non-perturbative black hole entropy when N reaches the quantum criticality value, whereas final states with different value of N are either suppressed or excluded by non-perturbative corpuscular physics. Thus we identify the microscopic reason behind the black hole dominance over other final states including non-black hole classical object. In the parameterization of the classicalization limit the scattering equations can be solved exactly allowing us to obtain closed expressions for the high-energy limit of the open and closed superstring tree-level scattering amplitudes for a generic number N of external legs. We demonstrate matching and complementarity between the string theory and field theory in different large-s and large-N regimes. (C) 2015 The Authors. Published by Elsevier B.V.

Item Type: | Journal article |
---|---|

Faculties: | Physics |

Subjects: | 500 Science > 530 Physics |

URN: | urn:nbn:de:bvb:19-epub-34353-5 |

ISSN: | 0550-3213 |

Language: | English |

Item ID: | 34353 |

Date Deposited: | 15. Feb 2017, 16:04 |

Last Modified: | 08. May 2024, 08:46 |