Baryonic Acoustic Oscillations via the Renormalization Group

Abstract

A semi-analytic approach to the computation of the non-linear power-spectrum of dark matter density fluctuations is proposed. The method is based on the Renormalization Group technique and can be applied to any underlying cosmological model. Our prediction on the baryonic acoustic oscillations in a LambdaCDM model accurately fits the results of N-body simulations down to zero redshift, where perturbation theory fails.

Figures (4)

• Figure 1: Feynman rules
• Figure 2: RG equation for the propagator $G_{ab,\lambda}$
• Figure 3: RG equation for $\Phi_{ab,\lambda}$
• Figure 4: The power-spectrum at $z=2,\,1,\,0$, as given by the RG (solid line), linear theory (short-dashed), 1-loop PT (long-dashed), and the N-body simulations of White (squares).