UV dependence of the large scale structure power spectrum

We discuss a non-perturbative equation for the power spectrum of large-scale density perturbations at long wavelength. It is based on equal-time consistency relations and an operator product expansion scheme, and encapsulates the dependence on UV modes into a number of response functions in a modified cosmology. We argue that they depend only weakly on the short-scale perturbation spectrum, and discuss implications for the leading coefficients in the effective field theory approach to large-scale structure formation.