| Full text | |
| Author(s): |
Garny, Mathias
;
Konstandin, Thomas
;
Porto, Rafael A.
;
Sagunski, Laura
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Journal of Cosmology and Astroparticle Physics; v. N/A, n. 11, p. 26-pg., 2015-11-01. |
| Abstract | |
We derive a non-perturbative equation for the large scale structure power spectrum of long-wavelength modes. Thereby, we use an operator product expansion together with relations between the three-point function and power spectrum in the soft limit. The resulting equation encodes the coupling to ultraviolet (UV) modes in two time-dependent coefficients, which may be obtained from response functions to (anisotropic) parameters, such as spatial curvature, in a modified cosmology. We argue that both depend weakly on fluctuations deep in the UV. As a byproduct, this implies that the renormalized leading order coefficient(s) in the effective field theory (EFT) of large scale structures receive most of their contribution from modes close to the non-linear scale. Consequently, the UV dependence found in explicit computations within standard perturbation theory stems mostly from counter-term(s). We confront a simplified version of our non-perturbative equation against existent numerical simulations, and find good agreement within the expected uncertainties. Our approach can in principle be used to precisely infer the relevance of the leading order EFT coefficient(s) using small volume simulations in an 'anisotropic separate universe' framework. Our results suggest that the importance of these coefficient(s) is a similar to 10% effect, and plausibly smaller. (AU) | |
| FAPESP's process: | 14/25212-3 - An effective field theory approach to cosmology |
| Grantee: | Rafael Alejandro Porto Pereira |
| Support Opportunities: | Scholarships in Brazil - Young Researchers |
| FAPESP's process: | 14/10748-5 - An effective field theory approach to cosmology |
| Grantee: | Rafael Alejandro Porto Pereira |
| Support Opportunities: | Research Grants - Young Investigators Grants |