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Title: Single-field consistency relations of large scale structure part II: resummation and redshift space

We generalize the recently derived single-field consistency relations of Large Scale Structure in two directions. First, we treat the effect of the long modes (with momentum q) on the short ones (with momentum k) non-perturbatively, by writing resummed consistency relations which do not require k/q⋅δ{sub q} << 1. These relations do not make any assumptions on the short-scales physics and are extended to include (an arbitrary number of) multiple long modes, internal lines with soft momenta and soft loops. We do several checks of these relations in perturbation theory and we verify that the effect of soft modes always cancels out in equal-time correlators. Second, we write the relations directly in redshift space, without assuming the single-stream approximation: not only the long mode affects the short scales as a homogeneous gravitational field, but it also displaces them by its velocity along the line-of-sight. Redshift space consistency relations still vanish when short modes are taken at equal time: an observation of a signal in the squeezed limit would point towards multifield inflation or a violation of the equivalence principle.
Authors:
 [1] ; ;  [2] ;  [3]
  1. Abdus Salam International Centre for Theoretical Physics Strada Costiera 11, Trieste, 34151 (Italy)
  2. CEA, Institut de Physique Théorique, Gif-sur-Yvette cédex, F-91191 (France)
  3. SISSA, via Bonomea 265, Trieste, 34136 (Italy)
Publication Date:
OSTI Identifier:
22370672
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2014; Journal Issue: 02; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; APPROXIMATIONS; EQUIVALENCE PRINCIPLE; GRAVITATIONAL FIELDS; PERTURBATION THEORY; RED SHIFT; SIGNALS; SPACE; VELOCITY COSMOLOGICAL INFLATION