Scaling Laws in the Cosmic Structure and Renormalization Group

Abstract

There is evidence of a scale-invariant matter distribution up to scales over 10 Megaparsecs. We review scaling (fractal or multifractal) models of large scale structure and their observational evidence. We conclude that the dynamics of cosmological structure formation seems to be driven to a multifractal attractor. This supports previous studies, which we review, of structure formation by means of the renormalization group within a hydrodynamic formulation.

8 pages, IOP LaTeX

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• Random interface growth in random environment: Renormalization group analysis of a simple model
• The Kardar-Parisi-Zhang model of a random kinetic growth: effects of a randomly moving medium
• Description of turbulent dynamics in the interstellar medium: multifractal/microcanonical analysis I. Application to Herschel observations of the Musca filament
• Effects of turbulent environment on the surface roughening: The Kardar-Parisi-Zhang model coupled to the stochastic Navier-Stokes equation
• A Comment on the Path Integral Approach to Cosmological Perturbation Theory