Landau-Ginzburg limit of black hole's quantum portrait: Self-similarity and critical exponent

Gia Dvali, Cesar Gomez

    Research output: Contribution to journalArticlepeer-review

    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 languageEnglish (US)
    Pages (from-to)240-242
    Number of pages3
    JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
    Volume716
    Issue number1
    DOIs
    StatePublished - Sep 17 2012

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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