Dynamical Scaling of Matter Density Correlations in the Universe: an Application of the Dynamical Renormalization Group

Abstract

We show how the interplay of non-linear dynamics, self-gravity, and fluctuations leads to self-affine behavior of matter density correlations quite generically, i.e., with a power-law exponent whose value does not depend in a very direct way on the specific details of the dynamics. This we do by means of the Renormalization Group, a powerful analytic tool for extracting asymptotic behavior of many-body systems

arXiv commentAccepted for publication in Astronomy & Astrophysics. 10 pages using A&A style file; 2 eps figures

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