Black holes and large N species solution to the hierarchy problem

Gia Dvali

    Research output: Contribution to journalArticle

    Abstract

    We provide the perturbative and non-perturbative arguments showing that theories with large number of species of the quantum fields, imply an inevitable hierarchy between the masses of the species and the Planck scale, shedding a different light on the hierarchy problem. In particular, using the black hole physics, we prove that any consistent theory that includes N Z2-conserved species of the quantum fields of mass Λ, must have a value of the Planck mass, which in large N limit is given byM2P>~2. An useful byproduct of this proof is that any exactly conserved quantum charge, not associated with a long-range classical field, must be defined maximum modulo N, with N ς (MP/m)2, where m is the mass of the unit charge. For example, a continuous global U(1) 'baryon number' symmetry, must be explicitly broken by gravity, at least down to a ZN subgroup, with N< (MP/mb)2, where mb is the baryon mass. The same constraint applies to any discrete gauge symmetry, as well as to other quantum-mechanically-detectable black hole charges that are associated with the massive quantum hair of the black hole.We show that the gravitationally-coupled N-species sector that solves the gauge hirearchy problem, should be probed by LHC.

    Original languageEnglish (US)
    Pages (from-to)528-536
    Number of pages9
    JournalFortschritte der Physik
    Volume58
    Issue number6
    DOIs
    StatePublished - Jun 1 2010

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    Keywords

    • Black holes
    • Hierarchy problem

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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