PIRSA:14110185

Consistency relations from inflation to the Large Scale Structure

(2014). Consistency relations from inflation to the Large Scale Structure. Perimeter Institute. https://pirsa.org/14110185

Consistency relations from inflation to the Large Scale Structure. Perimeter Institute, Nov. 27, 2014, https://pirsa.org/14110185 

          @misc{ pirsa_PIRSA:14110185,
            doi = {10.48660/14110185},
            url = {https://pirsa.org/14110185},
            author = {},
            keywords = {Cosmology},
            language = {en},
            title = {Consistency relations from inflation to the Large Scale Structure},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {nov},
            note = {PIRSA:14110185 see, \url{https://pirsa.org}}
          }
Talk number
PIRSA:14110185
Collection
Talk Type
Subject
Abstract

According to the Newtonian intuition, a constant gravitational field has no physical effect on a system since it can always be redefined, and a homogeneous gradient of the gravitational field (i.e. a homogeneous gravitational force) is equivalent to an accelerated reference frame. I will show how to extend this intuition to cosmological scales; in the presence of a single clock a constant curvature perturbation and its gradient can be set to zero through a coordinate transformation. This allows one to connect the squeezed limit of an $n$-point correlation function of the curvature perturbation to an (n+1)-point correlation function in the limit in which one of the momenta is very small (the so-called squeezed limit). These consistency relations are valid from inflation to the LSS. As an example, I will use them to write down a non-perturbative relativistic relation between galaxy number over-density correlation functions.