skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Lagrangian space consistency relation for large scale structure

Journal Article · · Journal of Cosmology and Astroparticle Physics
 [1];  [1];  [1]
  1. Columbia Univ., New York, NY (United States). Physics Dept. and Inst. for Strings, Cosmology, and Astroparticle Physics
+ Show Author Affiliations

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.

Research Organization:
Columbia Univ., New York, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0011941; FG02-92-ER40699
OSTI ID:
1454436
Journal Information:
Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 09; ISSN 1475-7516
Publisher:
Institute of Physics (IOP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 12 works
Citation information provided by
Web of Science

References (32)

Symmetries and consistency relations in the large scale structure of the universe journal August 2013
Galilean invariance and the consistency relation for the nonlinear squeezed bispectrum of large scale structure journal May 2013
Non-gaussian features of primordial fluctuations in single field inflationary models journal May 2003
A single-field consistency relation for the three-point function journal October 2004
Conformal consistency relations for single-field inflation journal July 2012
Conformal symmetries of adiabatic modes in cosmology journal August 2012
An infinite set of Ward identities for adiabatic modes in cosmology journal January 2014
On soft limits of inflationary correlation functions journal November 2012
Symmetries and loops in inflation journal February 2013
Operator product expansion of inflationary correlators and conformal symmetry of de Sitter journal November 2012
One-particle-irreducible consistency relations for cosmological perturbations journal May 2013
Inflationary consistency conditions from a wavefunctional perspective journal February 2014
Slavnov-Taylor identities for primordial perturbations journal February 2014
Single-field consistency relations of large scale structure journal December 2013
Ward identities and consistency relations for the large scale structure with multiple species journal April 2014
Consequences of symmetries and consistency relations in the large-scale structure of the universe for non-local bias and modified gravity journal June 2014
Testing the origin of cosmological magnetic fields through the large-scale structure consistency relations journal May 2014
Single-field consistency relations of large scale structure part II: resummation and redshift space journal February 2014
Kinematic consistency relations of large-scale structures journal April 2014
Single-field consistency relations of large scale structure part III: test of the equivalence principle journal June 2014
Soft-Pion theorems for large scale structure journal September 2014
Biased tracers and time evolution journal July 2015
Large-scale structure of the Universe and cosmological perturbation theory journal September 2002
Adiabatic modes in cosmology journal June 2003
The Observed squeezed limit of cosmological three-point functions journal October 2013
Dominance of gauge artifact in the consistency relation for the primordial bispectrum journal May 2011
Operator Product Expansion of Inflationary Correlators and Conformal Symmetry of de Sitter text January 2012
An Infinite Set of Ward Identities for Adiabatic Modes in Cosmology text January 2013
The Observed Squeezed Limit of Cosmological Three-Point Functions text January 2013
Single-Field Consistency Relations of Large Scale Structure. Part II: Resummation and Redshift Space text January 2013
Kinematic consistency relations of large-scale structures text January 2013
Redshift Space Distortions in the Effective Field Theory of Large Scale Structures preprint January 2014

Cited By (7)

Principal shapes and squeezed limits in the effective field theory of large scale structure journal November 2016
Responses in large-scale structure journal June 2017
Biased tracers of two fluids in the Lagrangian picture journal June 2019
Nonperturbative test of consistency relations and their violation journal August 2019
Principal Shapes and Squeezed Limits in the Effective Field Theory of Large Scale Structure text January 2016
Biased Tracers of Two Fluids in the Lagrangian Picture text January 2019
A non-perturbative test of consistency relations and their violation text January 2019

Similar Records

Lagrangian space consistency relation for large scale structure
Journal Article · Tue Sep 01 00:00:00 EDT 2015 · Journal of Cosmology and Astroparticle Physics · OSTI ID:1454436
Nonperturbative test of consistency relations and their violation
Journal Article · Wed Aug 28 00:00:00 EDT 2019 · Physical Review. D. · OSTI ID:1454436
Soft-Pion theorems for large scale structure
Journal Article · Mon Sep 01 00:00:00 EDT 2014 · Journal of Cosmology and Astroparticle Physics · OSTI ID:1454436

Related Subjects

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