Dynamical scaling of matter density correlations in the Universe - An application of the dynamical renormalization group

We show how the interplay of non-linear dynamics, self-gravity, and fluctua tions leads to self-affine behavior of matter density correlations quite ge nerically, 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 mea ns of the Renormalization Group, a powerful analytical tool for extracting asymptotic behavior of many-body systems.