Lagrangian space consistency relation for large scale structure
- Physics Department and Institute for Strings, Cosmology and Astroparticle Physics, Columbia University, New York, NY, 10027 (United States)
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 and Riotto and Peloso and 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. 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.
- OSTI ID:
- 22525326
- Journal Information:
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 09; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
- Country of Publication:
- United States
- Language:
- English
| 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 |
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