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Title: A Lagrangian effective field theory

Journal Article · · Journal of Cosmology and Astroparticle Physics
 [1];  [2];  [2]
  1. Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. Univ. of California, Berkeley, CA (United States)

We have continued the development of Lagrangian, cosmological perturbation theory for the low-order correlators of the matter density field. We provide a new route to understanding how the effective field theory (EFT) of large-scale structure can be formulated in the Lagrandian framework and a new resummation scheme, comparing our results to earlier work and to a series of high-resolution N-body simulations in both Fourier and configuration space. The `new' terms arising from EFT serve to tame the dependence of perturbation theory on small-scale physics and improve agreement with simulations (though with an additional free parameter). We find that all of our models fare well on scales larger than about two to three times the non-linear scale, but fail as the non-linear scale is approached. This is slightly less reach than has been seen previously. At low redshift the Lagrangian model fares as well as EFT in its Eulerian formulation, but at higher z the Eulerian EFT fits the data to smaller scales than resummed, Lagrangian EFT. Furthermore, all the perturbative models fare better than linear theory.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC02-76SF00515
OSTI ID:
1270630
Report Number(s):
SLAC-PUB-16655; arXiv:1506.05264
Journal Information:
Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 09; ISSN 1475-7516
Publisher:
Institute of Physics (IOP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 78 works
Citation information provided by
Web of Science

References (55)

Large-scale structure of the Universe and cosmological perturbation theory journal September 2002
Erratum: Nonlinear perturbation theory with halo bias and redshift-space distortions via the Lagrangian picture [Phys. Rev. D 78 , 083519 (2008)] journal November 2008
Precollapse scale invariance in gravitational instability journal December 1991
The Evolution of Correlation Functions in the Zeldovich Approximation and Its Implications for the Validity of Perturbation Theory journal November 1996
Non-linear cosmological power spectra in real and redshift space journal October 1996
Lagrangian perturbations and the matter bispectrum I: fourth-order model for non-linear clustering journal June 2012
Convolution Lagrangian perturbation theory for biased tracers journal December 2012
The Zel'dovich approximation journal February 2014
Lagrangian perturbation theory at one loop order: Successes, failures, and improvements journal January 2015
Time-analyticity of Lagrangian particle trajectories in ideal fluid flow journal May 2014
Recursive solutions of Lagrangian perturbation theory journal July 2015
The mildly non-linear regime of structure formation journal April 2012
Reconstructing baryon oscillations: A Lagrangian theory perspective journal March 2009
Reconstructing baryon oscillations journal December 2009
Towards an optimal reconstruction of baryon oscillations journal October 2012
Reconstruction within the Zeldovich approximation journal May 2015
N-point statistics of large-scale structure in the Zel'dovich approximation journal June 2014
Analytic model for the matter power spectrum, its covariance matrix and baryonic effects journal October 2014
Cosmological non-linearities as an effective fluid journal July 2012
The effective field theory of cosmological large scale structures journal September 2012
On the renormalization of the effective field theory of large scale structures journal August 2013
A coarse grained perturbation theory for the Large Scale Structure, with cosmology and time independence in the UV journal September 2014
On the velocity in the Effective Field Theory of Large Scale Structures journal March 2014
Consistent effective theory of long-wavelength cosmological perturbations journal July 2014
The Lagrangian-space Effective Field Theory of large scale structures journal May 2014
The IR-resummed Effective Field Theory of Large Scale Structures journal February 2015
Lagrangian or Eulerian; real or Fourier? Not all approaches to large-scale structure are created equal journal June 2014
The Mass Function journal December 2002
A 2.5 per cent measurement of the growth rate from small-scale redshift space clustering of SDSS-III CMASS galaxies journal August 2014
Tests of redshift-space distortions models in configuration space for the analysis of the BOSS final data release journal December 2014
Analytic model for the matter power spectrum, its covariance matrix and baryonic effects text January 2014
Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space text January 2007
Cosmological Non-Linearities as an Effective Fluid text January 2010
The Mildly Non-Linear Regime of Structure Formation text January 2011
Nonlinear Behavior of Baryon Acoustic Oscillations from the Zel'dovich Approximation Using a Non-Fourier Perturbation Approach text January 2012
Towards an Optimal Reconstruction of Baryon Oscillations text January 2012
The Effective Field Theory of Cosmological Large Scale Structures text January 2012
Convolution Lagrangian perturbation theory for biased tracers text January 2012
The Lagrangian-space Effective Field Theory of Large Scale Structures text January 2013
Lagrangian or Eulerian; Real or Fourier? Not All Approaches to Large-Scale Structure Are Created Equal text January 2013
N-point Statistics of Large-Scale Structure in the Zel'dovich Approximation text January 2013
Time-analyticity of Lagrangian particle trajectories in ideal fluid flow text January 2013
The Zeldovich approximation text January 2014
A 2.5% measurement of the growth rate from small-scale redshift space clustering of SDSS-III CMASS galaxies text January 2014
The IR-resummed Effective Field Theory of Large Scale Structures text January 2014
Analytic model for the matter power spectrum, its covariance matrix, and baryonic effects text January 2014
A coarse grained perturbation theory for the Large Scale Structure, with cosmology and time independence in the UV text January 2014
Tests of redshift-space distortions models in configuration space for the analysis of the BOSS final data release text January 2014
Lagrangian perturbation theory at one loop order: successes, failures, and improvements text January 2014
Halo Zeldovich model and perturbation theory: dark matter power spectrum and correlation function text January 2015
Recursive Solutions of Lagrangian Perturbation Theory text January 2015
Large-Scale Structure of the Universe and Cosmological Perturbation Theory text January 2001
The mass function text January 2002
On the reach of perturbative descriptions for dark matter displacement fields journal March 2016
Redshift Space Distortions in the Effective Field Theory of Large Scale Structures preprint January 2014

Cited By (31)

Screenings in modified gravity: a perturbative approach journal January 2019
Cosmological perturbation theory in 1+1 dimensions journal January 2016
Perturbation theory, effective field theory, and oscillations in the power spectrum journal March 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
Modeling CMB lensing cross correlations with CLEFT journal August 2017
The matter power spectrum in redshift space using effective field theory journal November 2017
Nonlinear evolution of initially biased tracers in modified gravity journal November 2018
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
Beating non-linearities: improving the baryon acoustic oscillations with the linear point journal November 2015
Detecting baryon acoustic oscillations in dark matter from kinematic weak lensing surveys journal May 2019
Modeling biased tracers at the field level journal August 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
Renormalization of Lagrangian bias via spectral parameters journal October 2018
On the soft limit of the large scale structure power spectrum: UV dependence text January 2015
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
The Effective Field Theory of Large Scale Structure at Two Loops: the apparent scale dependence of the speed of sound text January 2015
Perturbation theory, effective field theory, and oscillations in the power spectrum text January 2015
FFT-PT: Reducing the two-loop large-scale structure power spectrum to low-dimensional radial integrals text January 2016
A marked correlation function for constraining modified gravity models text January 2016
The matter power spectrum in redshift space using effective field theory text January 2017
Nonlinear evolution of initially biased tracers in modified gravity text January 2018
Screenings in Modified Gravity: a perturbative approach text January 2018
Biased Tracers of Two Fluids in the Lagrangian Picture 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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