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

Journal Article · · Journal of Cosmology and Astroparticle Physics
;  [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)
+ Show Author Affiliations

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.

OSTI ID:
22373573
Journal Information:
Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 05; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
Country of Publication:
United States
Language:
English

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Cited By (54)

Cosmic Structure Formation with Kinetic Field Theory journal September 2019
The Supersymmetric Effective Field Theory of Inflation journal March 2017
The cosmic microwave background: the history of its experimental investigation and its significance for cosmology journal June 2015
Lagrangian or Eulerian; real or Fourier? Not all approaches to large-scale structure are created equal journal June 2014
Structure formation with massive neutrinos: going beyond linear theory journal November 2014
The IR-resummed Effective Field Theory of Large Scale Structures journal February 2015
The bispectrum in the Effective Field Theory of Large Scale Structure journal May 2015
Analytic prediction of baryonic effects from the EFT of large scale structures journal May 2015
A Lagrangian effective field theory journal September 2015
The one-loop matter bispectrum in the Effective Field Theory of Large Scale Structures journal October 2015
Bias in the effective field theory of large scale structures journal November 2015
Effective theory of large-scale structure with primordial non-Gaussianity journal November 2015
Cosmological perturbation theory in 1+1 dimensions journal January 2016
On the reach of perturbative descriptions for dark matter displacement fields journal March 2016
Perturbation theory, effective field theory, and oscillations in the power spectrum journal March 2016
Precision comparison of the power spectrum in the EFTofLSS with simulations journal May 2016
An extended action for the effective field theory of dark energy: a stability analysis and a complete guide to the mapping at the basis of EFTCAMB journal July 2016
A marked correlation function for constraining modified gravity models journal November 2016
The Gaussian streaming model and convolution Lagrangian effective field theory journal December 2016
On the stability conditions for theories of modified gravity in the presence of matter fields journal March 2017
Efficient exploration of cosmology dependence in the EFT of LSS journal April 2017
Modeling CMB lensing cross correlations with CLEFT journal August 2017
The matter power spectrum in redshift space using effective field theory journal November 2017
Biased tracers of two fluids in the Lagrangian picture journal June 2019
The reconstructed power spectrum in the Zeldovich approximation journal September 2019
The effective field theory of large scale structure at three loops journal November 2019
Reducing the two-loop large-scale structure power spectrum to low-dimensional, radial integrals journal November 2016
Nonlinear reconstruction of redshift space distortions journal February 2018
On the soft limit of the large scale structure power spectrum: UV dependence text January 2015
The Hunt for Primordial Interactions in the Large-Scale Structures of the Universe journal August 2019
On the soft limit of the large scale structure power spectrum: UV dependence journal November 2015
The effective field theory of large scale structure at three loops text January 2019
The Effective Field Theory of Large Scale Structure at Three Loops text January 2019
Lagrangian or Eulerian; Real or Fourier? Not All Approaches to Large-Scale Structure Are Created Equal text January 2013
The IR-resummed Effective Field Theory of Large Scale Structures text January 2014
The One-Loop Matter Bispectrum in the Effective Field Theory of Large Scale Structures text January 2014
Lagrangian perturbation theory at one loop order: successes, failures, and improvements text January 2014
Recursive Solutions of Lagrangian Perturbation Theory text January 2015
The Cosmic Microwave Background: The history of its experimental investigation and its significance for cosmology text January 2015
A Lagrangian effective field theory text January 2015
The Effective Field Theory of Large Scale Structure at Two Loops: the apparent scale dependence of the speed of sound text January 2015
Precision Comparison of the Power Spectrum in the EFTofLSS with Simulations text January 2015
Perturbation theory, effective field theory, and oscillations in the power spectrum text January 2015
Open EFTs, IR Effects and Late-Time Resummations: Systematic Corrections in Stochastic Inflation text January 2015
An Extended action for the effective field theory of dark energy: a stability analysis and a complete guide to the mapping at the basis of EFTCAMB text January 2016
FFT-PT: Reducing the two-loop large-scale structure power spectrum to low-dimensional radial integrals text January 2016
On the stability conditions for theories of modified gravity in presence of matter fields text January 2016
A marked correlation function for constraining modified gravity models text January 2016
The Supersymmetric Effective Field Theory of Inflation text January 2016
The matter power spectrum in redshift space using effective field theory text January 2017
Biased Tracers of Two Fluids in the Lagrangian Picture text January 2019
Cosmic Structure Formation with Kinetic Field Theory text January 2019
The Effective Field Theory of Large Scale Structure at Three Loops text January 2019
The Reconstructed Power Spectrum in the Zeldovich Approximation text January 2019

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Related Subjects

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