Symmetries and consistency relations in the large scale structure of the universe

By A. Kehagias, A. Riotto. 2013

172 citations recorded by the source corpus.

Abstract We study the symmetries enjoyed by the Newtonian equations of motion of the non-relativistic dark matter fluid coupled to gravity which give rise to the phenomenon of gravitational instability. We also discuss some consistency relations involving the soft limit of the ( n + 1 ) -correlator functions of matter and galaxy overdensities.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/30ab7674f9ba01ac631b9e3edf66a5b340b3d9f1

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In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

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”
Single-field consistency relations of large scale structure part II: resummation and redshift space (2013, methodology): “However, the arguments of [1, 2, 3] tell us that the long mode (at leading order in q) is equivalent to a change of coordinates.”
Time-sliced perturbation theory II: baryon acoustic oscillations and infrared resummation (2016, unknown): “Similar conclusions have also been reached in [13, 15, 16] based on symmetry arguments.”
The bispectrum in the Effective Field Theory of Large Scale Structure (2014, background): “The equations of motion are invariant under time-dependent boosts [40, 41] x→ x′ ≡ x+ n(τ), (A.”
Renormalized halo bias (2014, background): “Further discussion of the symmetries of the Newtonian fluid equations can be found in [32, 33].”
Equivalence Principle and the Baryon Acoustic Peak (2015, unknown): “[3–5]), reads”
The Effective Field Theory of Large Scale Structures at two loops (2013, background): “Finally, as proven in [12, 13], in equal-time matter correlation functions, all IR divergences must cancel when we sum together all contributing diagrams, provided that the linear matter power spectrum P11 grows in the IR more slowly than k n with n > −3 (see [14, 15] for a recent discussion).”
Nonlinear perturbation theory extension of the Boltzmann code CLASS (2020, background): “Whilst the effects of these bulk flows are locally unobservable due to the Equivalence Principle [39–41], they still affect features in the power spectrum, such as the BAO wiggles.”