Nonperturbative continuity in graviton mass versus perturbative discontinuity

Cédric Deffayet, Gia Dvali, Gregory Gabadadze, Arkady Vainshtein

    Research output: Contribution to journalArticle

    Abstract

    We address the question of whether a graviton could have a small nonzero mass. The issue is subtle for two reasons: there is a discontinuity in the mass in the lowest tree-level approximation, and, moreover, the non-linear four-dimensional theory of a massive graviton is not defined unambiguously. First, we reiterate the old argument that for vanishing graviton mass the lowest tree-level approximation breaks down since the higher order corrections are singular in the graviton mass. However, there can exist nonperturbative solutions which correspond to the summation of the singular terms, and these solutions are continuous in the graviton mass. Furthermore, we study a completely nonlinear and generally covariant five-dimensional model which mimics the properties of the four-dimensional theory of massive gravity. We show that the exact solutions of the model are continuous in the mass, yet the perturbative expansion exhibits a discontinuity in the leading order and singularities in higher orders as in the four-dimensional case. Based on exact cosmological solutions of the model we argue that the helicity-zero graviton state responsible for the perturbative discontinuity decouples from the matter in the limit of vanishing graviton mass in the full classical theory.

    Original languageEnglish (US)
    Article number044026
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume65
    Issue number4
    DOIs
    StatePublished - 2002

    Fingerprint

    gravitons
    continuity
    Discontinuity
    discontinuity
    Lowest
    Higher Order
    Helicity
    Approximation
    approximation
    Summation
    Breakdown
    Gravity
    Exact Solution
    breakdown
    Model
    Singularity
    gravitation
    expansion
    Zero
    Term

    ASJC Scopus subject areas

    • Physics and Astronomy (miscellaneous)
    • Physics and Astronomy(all)
    • Nuclear and High Energy Physics
    • Mathematical Physics

    Cite this

    Nonperturbative continuity in graviton mass versus perturbative discontinuity. / Deffayet, Cédric; Dvali, Gia; Gabadadze, Gregory; Vainshtein, Arkady.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 65, No. 4, 044026, 2002.

    Research output: Contribution to journalArticle

    Deffayet, Cédric ; Dvali, Gia ; Gabadadze, Gregory ; Vainshtein, Arkady. / Nonperturbative continuity in graviton mass versus perturbative discontinuity. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 2002 ; Vol. 65, No. 4.
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