A Closure Theory for Non-linear Evolution of Cosmological Power Spectra

Abstract

We apply a non-linear statistical method in turbulence to the cosmological perturbation theory and derive a closed set of evolution equations for matter power spectra. The resultant closure equations consistently recover the one-loop results of standard perturbation theory and beyond that, it is still capable of treating the non-linear evolution of matter power spectra. We find the exact integral expressions for the solutions of closure equations. These analytic expressions coincide with the renormalized one-loop results presented by Crocce & Scoccimarro (2006,2007). By constructing the non-linear propagator, we analytically evaluate the non-linear matter power spectra based on the first-order Born approximation of the integral expressions and compare it with those of the renormalized perturbation theory.

22 pages, 4 figures, accepted for publication in ApJ

References in corpus (5)

• Nonlinear Evolution of Baryon Acoustic Oscillations
• Large-N expansions applied to gravitational clustering
• Using the Zeldovich dynamics to test expansion schemes
• Renormalized Newtonian Cosmic Evolution with Primordial Non-Gaussianity
• How well can (renormalized) perturbation theory predict dark matter clustering properties?

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• Multi-Point Propagators in Cosmological Gravitational Instability
• Primordial non-Gaussianity: large-scale structure signature in the perturbative bias model
• Impact of massive neutrinos on nonlinear matter power spectrum
• Non-linear Evolution of Matter Power Spectrum in Modified Theory of Gravity
• Simulations of Baryon Acoustic Oscillations II: Covariance matrix of the matter power spectrum
• Nonlinear power spectrum in the presence of massive neutrinos: perturbation theory approach, galaxy bias and parameter forecasts
• Perturbation Theory Reloaded II: Non-linear Bias, Baryon Acoustic Oscillations and Millennium Simulation In Real Space
• Chasing the non-linear evolution of matter power spectrum with numerical resummation method: solution of closure equations
• Simulations of Baryon Acoustic Oscillations I: Growth of Large-Scale Density Fluctuations