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arXiv · 0708.1367

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

Atsushi Taruya·Takashi Hiramatsu
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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.

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Atsushi Taruya, Takashi Hiramatsu. 2007-11-14. A Closure Theory for Non-linear Evolution of Cosmological Power Spectra. https://doi.org/10.1086/526515

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