Physics of trans-Planckian gravity

Gia Dvali, Sarah Folkerts, Cristiano Germani

    Research output: Contribution to journalArticle

    Abstract

    We study the field theoretical description of a generic theory of gravity flowing to Einstein general relativity in IR. We prove that, if ghost-free, in the weakly-coupled regime such a theory can never become weaker than general relativity. Using this fact, as a by-product, we suggest that in a ghost-free theory of gravity trans-Planckian propagating quantum degrees of freedom cannot exist. The only physical meaning of a trans-Planckian pole is the one of a classical state (black hole) which is described by the light IR quantum degrees of freedom and gives exponentially-suppressed contributions to virtual processes. In this picture Einstein gravity is UV self-complete, although not Wilsonian, and sub-Planckian distances are unobservable in any healthy theory of gravity. We then finally show that this UV/IR correspondence puts a severe constraint on any attempt of conventional Wilsonian UV-completion of trans-Planckian gravity. Specifically, there is no well-defined energy domain in which gravity could become asymptotically weak or safe.

    Original languageEnglish (US)
    Article number024039
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume84
    Issue number2
    DOIs
    StatePublished - Jul 21 2011

    Fingerprint

    gravitation
    physics
    ghosts
    relativity
    degrees of freedom
    poles
    energy

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Physics of trans-Planckian gravity. / Dvali, Gia; Folkerts, Sarah; Germani, Cristiano.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 84, No. 2, 024039, 21.07.2011.

    Research output: Contribution to journalArticle

    Dvali, Gia ; Folkerts, Sarah ; Germani, Cristiano. / Physics of trans-Planckian gravity. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 2011 ; Vol. 84, No. 2.
    @article{38778b75d7b8432fa014a333268badb3,
    title = "Physics of trans-Planckian gravity",
    abstract = "We study the field theoretical description of a generic theory of gravity flowing to Einstein general relativity in IR. We prove that, if ghost-free, in the weakly-coupled regime such a theory can never become weaker than general relativity. Using this fact, as a by-product, we suggest that in a ghost-free theory of gravity trans-Planckian propagating quantum degrees of freedom cannot exist. The only physical meaning of a trans-Planckian pole is the one of a classical state (black hole) which is described by the light IR quantum degrees of freedom and gives exponentially-suppressed contributions to virtual processes. In this picture Einstein gravity is UV self-complete, although not Wilsonian, and sub-Planckian distances are unobservable in any healthy theory of gravity. We then finally show that this UV/IR correspondence puts a severe constraint on any attempt of conventional Wilsonian UV-completion of trans-Planckian gravity. Specifically, there is no well-defined energy domain in which gravity could become asymptotically weak or safe.",
    author = "Gia Dvali and Sarah Folkerts and Cristiano Germani",
    year = "2011",
    month = "7",
    day = "21",
    doi = "10.1103/PhysRevD.84.024039",
    language = "English (US)",
    volume = "84",
    journal = "Physical review D: Particles and fields",
    issn = "1550-7998",
    publisher = "American Institute of Physics",
    number = "2",

    }

    TY - JOUR

    T1 - Physics of trans-Planckian gravity

    AU - Dvali, Gia

    AU - Folkerts, Sarah

    AU - Germani, Cristiano

    PY - 2011/7/21

    Y1 - 2011/7/21

    N2 - We study the field theoretical description of a generic theory of gravity flowing to Einstein general relativity in IR. We prove that, if ghost-free, in the weakly-coupled regime such a theory can never become weaker than general relativity. Using this fact, as a by-product, we suggest that in a ghost-free theory of gravity trans-Planckian propagating quantum degrees of freedom cannot exist. The only physical meaning of a trans-Planckian pole is the one of a classical state (black hole) which is described by the light IR quantum degrees of freedom and gives exponentially-suppressed contributions to virtual processes. In this picture Einstein gravity is UV self-complete, although not Wilsonian, and sub-Planckian distances are unobservable in any healthy theory of gravity. We then finally show that this UV/IR correspondence puts a severe constraint on any attempt of conventional Wilsonian UV-completion of trans-Planckian gravity. Specifically, there is no well-defined energy domain in which gravity could become asymptotically weak or safe.

    AB - We study the field theoretical description of a generic theory of gravity flowing to Einstein general relativity in IR. We prove that, if ghost-free, in the weakly-coupled regime such a theory can never become weaker than general relativity. Using this fact, as a by-product, we suggest that in a ghost-free theory of gravity trans-Planckian propagating quantum degrees of freedom cannot exist. The only physical meaning of a trans-Planckian pole is the one of a classical state (black hole) which is described by the light IR quantum degrees of freedom and gives exponentially-suppressed contributions to virtual processes. In this picture Einstein gravity is UV self-complete, although not Wilsonian, and sub-Planckian distances are unobservable in any healthy theory of gravity. We then finally show that this UV/IR correspondence puts a severe constraint on any attempt of conventional Wilsonian UV-completion of trans-Planckian gravity. Specifically, there is no well-defined energy domain in which gravity could become asymptotically weak or safe.

    UR - http://www.scopus.com/inward/record.url?scp=80051772446&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=80051772446&partnerID=8YFLogxK

    U2 - 10.1103/PhysRevD.84.024039

    DO - 10.1103/PhysRevD.84.024039

    M3 - Article

    VL - 84

    JO - Physical review D: Particles and fields

    JF - Physical review D: Particles and fields

    SN - 1550-7998

    IS - 2

    M1 - 024039

    ER -