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Title: Single-field consistency relations of large scale structure

We derive consistency relations for the late universe (CDM and ΛCDM): relations between an n-point function of the density contrast δ and an (n+1)-point function in the limit in which one of the (n+1) momenta becomes much smaller than the others. These are based on the observation that a long mode, in single-field models of inflation, reduces to a diffeomorphism since its freezing during inflation all the way until the late universe, even when the long mode is inside the horizon (but out of the sound horizon). These results are derived in Newtonian gauge, at first and second order in the small momentum q of the long mode and they are valid non-perturbatively in the short-scale δ. In the non-relativistic limit our results match with [1]. These relations are a consequence of diffeomorphism invariance; they are not satisfied in the presence of extra degrees of freedom during inflation or violation of the Equivalence Principle (extra forces) in the late universe.
Authors:
 [1] ;  [2] ;  [3] ;  [4]
  1. Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34151, Trieste (Italy)
  2. Institut de Ciències del Cosmos (ICC), Universitat de Barcelona, Martí i Franquès 1, E08028 (Spain)
  3. SISSA, via Bonomea 265, 34136, Trieste (Italy)
  4. CEA, Institut de Physique Théorique, Route Nationale, F-91191 Gif-sur-Yvette cédex (France)
Publication Date:
OSTI Identifier:
22369862
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2013; Journal Issue: 12; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; DEGREES OF FREEDOM; DENSITY; EQUIVALENCE PRINCIPLE; FREEZING; FUNCTIONS; RELATIVISTIC RANGE; UNIVERSE COSMOLOGICAL INFLATION