Goldstone origin of black hole hair from supertranslations and criticality

Artem Averin, Gia Dvali, Cesar Gomez, Dieter Lüst

    Research output: Contribution to journalReview article

    Abstract

    Degrees of freedom that carry black hole entropy and hair can be described in the language of Goldstone phenomenon. They represent the pseudo-Goldstone bosons of certain supertranslations, called-transformations, that are spontaneously broken by the black hole metric. This breaking gives rise to a tower of Goldstone bosons created by the spontaneously-broken generators that can be labeled by spherical harmonics. Classically, the number of charges is infinite, they have vanishing vacuum expectation values (VEVs) and the corresponding Goldstone modes are gapless. The resulting hair and entropy are infinite, but unresolvable. In quantum theory, the two things happen. The number of legitimate Goldstone modes restricted by requirement of weak-coupling, becomes finite and scales as black hole area in Planck units. The Goldstones generate a tiny gap, controlled by their gravitational coupling. The gap turns out to be equal to the inverse of black hole half-life, tBH. Correspondingly, in quantum theory the charges are neither conserved nor vanish, but non-conservation time is set by tBH. This picture nicely matches with the idea of a black hole as critical system is composed of many soft gravitons. The-Goldstones of geometric picture represent the near-gapless Bogoliubov-Goldstone modes of critical soft-graviton system.

    Original languageEnglish (US)
    Article number1630045
    JournalModern Physics Letters A
    Volume31
    Issue number39
    DOIs
    StatePublished - Dec 21 2016

    Fingerprint

    hair
    gravitons
    quantum theory
    bosons
    entropy
    towers
    spherical harmonics
    half life
    generators
    degrees of freedom
    requirements
    vacuum

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics
    • Astronomy and Astrophysics

    Cite this

    Goldstone origin of black hole hair from supertranslations and criticality. / Averin, Artem; Dvali, Gia; Gomez, Cesar; Lüst, Dieter.

    In: Modern Physics Letters A, Vol. 31, No. 39, 1630045, 21.12.2016.

    Research output: Contribution to journalReview article

    Averin, Artem ; Dvali, Gia ; Gomez, Cesar ; Lüst, Dieter. / Goldstone origin of black hole hair from supertranslations and criticality. In: Modern Physics Letters A. 2016 ; Vol. 31, No. 39.
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