Single-field consistency relations of large scale structure part II: resummation and redshift space
By P. Creminelli, J. Gleyzes, M. Simonovi'c, F. Vernizzi. 2013
143 citations recorded by the source corpus.
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⋅δq ≪ 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.
Subfields: Astronomy and Astrophysics, Instrumentation
View Paper: https://www.semanticscholar.org/paper/8909c77f9782f0d70cbaa145e061d74d61971fc6
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In Astronomy and Astrophysics
In Instrumentation
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Citations in the corpus
- Effective field theory of dark energy: A review (2019, unknown): “baryons and photons [130, 131].”
- The Lagrangian-space Effective Field Theory of large scale structures (2013, methodology): “As a result of the equivalence principle, a linear potential can be removed by a coordinate transformation (see for example [13] where this fact is used to explain why the equal-time matter power spectrum is unaffected by IR modes if n > −3; and [24] (see also [25, 26, 27, 28]) where this fact is us”