### Abstract

Recently we have suggested that the microscopic quantum description of a black hole is an overpacked self-sustained Bose-condensate of N weakly-interacting soft gravitons, which obeys the rules of 't Hooft's large-. N physics. In this Letter we derive an effective Landau-Ginzburg Lagrangian for the condensate and show that it becomes an exact description in a semi-classical limit that serves as the black hole analog of 't Hooft's planar limit. The role of a weakly-coupled Landau-Ginzburg order parameter is played by N. This description consistently reproduces the known properties of black holes in semi-classical limit. Hawking radiation, as the quantum depletion of the condensate, is described by the slow-roll of the field N. In the semi-classical limit, where black holes of arbitrarily small size are allowed, the equation of depletion is self-similar leading to a scaling law for the black hole size with critical exponent 13.

Original language | English (US) |
---|---|

Pages (from-to) | 240-242 |

Number of pages | 3 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 716 |

Issue number | 1 |

DOIs | |

State | Published - Sep 17 2012 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Landau-Ginzburg limit of black hole's quantum portrait : Self-similarity and critical exponent.** / Dvali, Gia; Gomez, Cesar.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 716, no. 1, pp. 240-242. https://doi.org/10.1016/j.physletb.2012.08.019

}

TY - JOUR

T1 - Landau-Ginzburg limit of black hole's quantum portrait

T2 - Self-similarity and critical exponent

AU - Dvali, Gia

AU - Gomez, Cesar

PY - 2012/9/17

Y1 - 2012/9/17

N2 - Recently we have suggested that the microscopic quantum description of a black hole is an overpacked self-sustained Bose-condensate of N weakly-interacting soft gravitons, which obeys the rules of 't Hooft's large-. N physics. In this Letter we derive an effective Landau-Ginzburg Lagrangian for the condensate and show that it becomes an exact description in a semi-classical limit that serves as the black hole analog of 't Hooft's planar limit. The role of a weakly-coupled Landau-Ginzburg order parameter is played by N. This description consistently reproduces the known properties of black holes in semi-classical limit. Hawking radiation, as the quantum depletion of the condensate, is described by the slow-roll of the field N. In the semi-classical limit, where black holes of arbitrarily small size are allowed, the equation of depletion is self-similar leading to a scaling law for the black hole size with critical exponent 13.

AB - Recently we have suggested that the microscopic quantum description of a black hole is an overpacked self-sustained Bose-condensate of N weakly-interacting soft gravitons, which obeys the rules of 't Hooft's large-. N physics. In this Letter we derive an effective Landau-Ginzburg Lagrangian for the condensate and show that it becomes an exact description in a semi-classical limit that serves as the black hole analog of 't Hooft's planar limit. The role of a weakly-coupled Landau-Ginzburg order parameter is played by N. This description consistently reproduces the known properties of black holes in semi-classical limit. Hawking radiation, as the quantum depletion of the condensate, is described by the slow-roll of the field N. In the semi-classical limit, where black holes of arbitrarily small size are allowed, the equation of depletion is self-similar leading to a scaling law for the black hole size with critical exponent 13.

UR - http://www.scopus.com/inward/record.url?scp=84865755342&partnerID=8YFLogxK

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U2 - 10.1016/j.physletb.2012.08.019

DO - 10.1016/j.physletb.2012.08.019

M3 - Article

VL - 716

SP - 240

EP - 242

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1

ER -