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Title: The Lagrangian-space Effective Field Theory of large scale structures

We introduce a Lagrangian-space Effective Field Theory (LEFT) formalism for the study of cosmological large scale structures. Unlike the previous Eulerian-space construction, it is naturally formulated as an effective field theory of extended objects in Lagrangian space. In LEFT the resulting finite size effects are described using a multipole expansion parameterized by a set of time dependent coefficients and organized in powers of the ratio of the wavenumber of interest k over the non-linear scale k{sub NL}. The multipoles encode the effects of the short distance modes on the long-wavelength universe and absorb UV divergences when present. There are no IR divergences in LEFT. Some of the parameters that control the perturbative approach are not assumed to be small and can be automatically resummed. We present an illustrative one-loop calculation for a power law universe. We describe the dynamics both at the level of the equations of motion and through an action formalism.
Authors:
;  [1] ;  [2]
  1. School of Natural Sciences, Institute for Advanced Study, Olden Lane, Princeton, NJ 08540 (United States)
  2. Stanford Institute for Theoretical Physics, Stanford University, Stanford, CA 94306 (United States)
Publication Date:
OSTI Identifier:
22373573
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2014; Journal Issue: 05; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CONTROL; DISTANCE; EQUATIONS OF MOTION; EXPANSION; FIELD THEORIES; LAGRANGIAN FUNCTION; MULTIPOLES; NONLINEAR PROBLEMS; SPACE; TIME DEPENDENCE; UNIVERSE; WAVELENGTHS