Memory of Initial Conditions in Gravitational Clustering

Details Memory of Initial Conditions in Gravitational Clustering Memory of Initial Conditions in Gravitational Clustering

2005-09-15

arxiv.org/abs/astro-ph/0509419v2

Phys.Rev.D73:063520,2006

Astronomy and Astrophysics

Astrophysics

19 pages, 7 figures. Corrects Figs.7 and 11 in published version

Scientific paper

10.1103/PhysRevD.73.063520

We study the nonlinear propagator, a key ingredient in renormalized perturbation theory (RPT) that allows a well-controlled extension of perturbation theory into the nonlinear regime. We show that it can be thought as measuring the memory of density and velocity fields to their initial conditions. This provides a clean definition of the validity of linear theory, which is shown to be much more restricted than usually recognized in the literature. We calculate the nonlinear propagator in RPT and compare to measurements in numerical simulations, showing remarkable agreement well into the nonlinear regime. We also show that N-body simulations require a rather large volume to recover the correct propagator, due to the missing large-scale modes. Our results for the nonlinear propagator provide an essential element to compute the nonlinear power spectrum in RPT.

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