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Title: On the velocity in the Effective Field Theory of Large Scale Structures

We compute the renormalized two-point functions of density, divergence and vorticity of the velocity in the Effective Field Theory of Large Scale Structures. Because of momentum and mass conservation, the corrections from short scales to the large-scale power spectra of density, divergence and vorticity must start at order k{sup 4}. For the vorticity this constitutes one of the two leading terms. Exact (approximated) self-similarity of an Einstein-de Sitter (ΛCDM) background fixes the time dependence so that the vorticity power spectrum at leading order is determined by the symmetries of the problem and the power spectrum around the non-linear scale. We show that to cancel all divergences in the velocity correlators one needs new counterterms. These fix the definition of velocity and do not represent new properties of the system. For an Einstein-de Sitter universe, we show that all three renormalized cross- and auto-correlation functions have the same structure but different numerical coefficients, which we compute. We elucidate the differences between using momentum and velocity.
Authors:
 [1] ;  [2]
  1. Department of Astrophysical Sciences, Princeton University, Peyton Hall, Princeton, NJ, 08536 (United States)
  2. Physics Department, Princeton University, Jadwin Hall, Princeton, NJ, 08536 (United States)
Publication Date:
OSTI Identifier:
22370663
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2014; Journal Issue: 03; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; CORRECTIONS; CORRELATION FUNCTIONS; DE SITTER GROUP; DE SITTER SPACE; DENSITY; FIELD THEORIES; MASS; NONLINEAR PROBLEMS; RENORMALIZATION; SPECTRA; TIME DEPENDENCE; UNIVERSE