Renormalized cosmological perturbation theory

Martín Crocce, Román Scoccimarro

    Research output: Contribution to journalArticle

    Abstract

    We develop a new formalism to study nonlinear evolution in the growth of large-scale structure, by following the dynamics of gravitational clustering as it builds up in time. This approach is conveniently represented by Feynman diagrams constructed in terms of three objects: the initial conditions (e.g. perturbation spectrum), the vertex (describing nonlinearities) and the propagator (describing linear evolution). We show that loop corrections to the linear power spectrum organize themselves into two classes of diagrams: one corresponding to mode-coupling effects, the other to a renormalization of the propagator. Resummation of the latter gives rise to a quantity that measures the memory of perturbations to initial conditions as a function of scale. As a result of this, we show that a well-defined (renormalized) perturbation theory follows, in the sense that each term in the remaining mode-coupling series dominates at some characteristic scale and is subdominant otherwise. This is unlike standard perturbation theory, where different loop corrections can become of the same magnitude in the nonlinear regime. In companion papers we compare the resummation of the propagator with numerical simulations, and apply these results to the calculation of the nonlinear power spectrum. Remarkably, the expressions in renormalized perturbation theory can be written in a way that closely resembles the halo model.

    Original languageEnglish (US)
    Article number063519
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume73
    Issue number6
    DOIs
    StatePublished - 2006

    Fingerprint

    Propagator
    Perturbation Theory
    Mode Coupling
    perturbation theory
    Power Spectrum
    coupled modes
    propagation
    power spectra
    Initial conditions
    Perturbation
    Feynman Diagrams
    perturbation
    Large-scale Structure
    Feynman diagrams
    Renormalization
    Well-defined
    halos
    apexes
    Diagram
    diagrams

    ASJC Scopus subject areas

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

    Cite this

    Renormalized cosmological perturbation theory. / Crocce, Martín; Scoccimarro, Román.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 73, No. 6, 063519, 2006.

    Research output: Contribution to journalArticle

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