Sabino Matarrese and Massimo Pietroni JCAP06(2007)026 doi:10.1088/1475-7516/2007/06/026
Sabino Matarrese1,2 and Massimo Pietroni2
Show affiliationsRenormalization group (RG) techniques have been successfully employed in quantum field theory and statistical physics. Here we apply RG methods to study the non-linear stages of structure formation in the universe. Exact equations for the power spectrum, the bispectrum, and all higher order correlation functions can be derived for any underlying cosmological model. A remarkable feature of the RG flow is the emergence of an intrinsic UV cut-off, due to dark matter velocity dispersion, which improves the convergence of the equations at small scales. As a consequence, the method is able to follow the non-linear evolution of the power spectrum down to zero redshift and to length scales where perturbation theory fails. Our predictions accurately fit the results of N-body simulations in reproducing the 'baryon acoustic oscillation' features of the power spectrum, which will be accurately measured in future galaxy surveys and will provide a probe for distinguishing among different dark energy models.
E-print Number: astro-ph/0703563
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Issue 06 (June 2007)
Received 26 March 2007, accepted for publication 6 June 2007
Published 25 June 2007
Sabino Matarrese and Massimo Pietroni JCAP06(2007)026
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