2015/02/24 by Bart Horn, Lam Hui, Xiao Xiao
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Consistency (knowledge bases) #Correlation function (quantum field theory) #Cosmology and Gravitation Theories #Function (biology) #High-Energy Particle Collisions Research #Limit (mathematics) #Momentum (technical analysis) #Observable #Scale (ratio) #Simple (philosophy) #Space (punctuation) #astro-ph.CO #hep-th
paper · pdf · doi:10.1088/1475-7516/2015/09/068
19 pages, no figures
arxiv created 2015/02/24 · openalex publication_date 2015/09/29 · arxiv updated 2015/10/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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. 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.