Feynman diagrams and renormalization group techniques can be applied to the study of the dynamics of
structure formation in the Universe. A semi-analytic approach to the computation of the power-spectrum of
dark matter density fluctuations will be described. The method can be applied down to zero redshift and to
length scales where perturbation theory fails. Our predictions accurately fit the results of numerical
simulations in reproducing the 'acoustic oscillations' features of the power spectrum, which will be accurately
measured in future galaxy surveys and will provide a probe to distinguish among different dark energy
models.