Title: Lagrangian space consistency relation for large scale structure

Abstract

Consistency relations, which relate the squeezed limit of an (N+1)-point correlation function to an N-point function, are non-perturbative symmetry statements that hold even if the associated high momentum modes are deep in the nonlinear regime and astrophysically complex. Recently, Kehagias & Riotto and Peloso & Pietroni discovered a consistency relation applicable to large scale structure. We show that this can be recast into a simple physical statement in Lagrangian space: that the squeezed correlation function (suitably normalized) vanishes. This holds regardless of whether the correlation observables are at the same time or not, and regardless of whether multiple-streaming is present. Furthermore, the simplicity of this statement suggests that an analytic understanding of large scale structure in the nonlinear regime may be particularly promising in Lagrangian space.

Authors:

Horn, Bart ^[1]; Hui, Lam ^[1]; Xiao, Xiao ^[1]

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+ Show Author Affiliations

1. Columbia Univ., New York, NY (United States). Physics Dept. and Inst. for Strings, Cosmology, and Astroparticle Physics

Publication Date:

Tue Sep 29 00:00:00 EDT 2015

Research Org.:

Columbia Univ., New York, NY (United States)

Sponsoring Org.:

USDOE Office of Science (SC)

OSTI Identifier:

1454436

Grant/Contract Number:  

SC0011941; FG02-92-ER40699

Resource Type:

Accepted Manuscript

Journal Name:

Journal of Cosmology and Astroparticle Physics

Additional Journal Information:

Journal Volume: 2015; Journal Issue: 09; Journal ID: ISSN 1475-7516

Publisher:

Institute of Physics (IOP)

Country of Publication:

United States

Language:

English

Subject:

79 ASTRONOMY AND ASTROPHYSICS; particle physics; cosmology connection; cosmological parameters from LSS; cosmological perturbation theory