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Title: A Lagrangian effective field theory

Abstract

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.

Authors:
 [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)
Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1270630
Report Number(s):
SLAC-PUB-16655
Journal ID: ISSN 1475-7516; arXiv:1506.05264
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2015; Journal Issue: 09; Journal ID: ISSN 1475-7516
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; astrophysics; ASTRO; cosmological parameters from LSS; power spectrum; baryon acoustic oscillations; galaxy clustering

Citation Formats

Vlah, Zvonimir, White, Martin, and Aviles, Alejandro. A Lagrangian effective field theory. United States: N. p., 2015. Web. doi:10.1088/1475-7516/2015/09/014.
Vlah, Zvonimir, White, Martin, & Aviles, Alejandro. A Lagrangian effective field theory. United States. https://doi.org/10.1088/1475-7516/2015/09/014
Vlah, Zvonimir, White, Martin, and Aviles, Alejandro. 2015. "A Lagrangian effective field theory". United States. https://doi.org/10.1088/1475-7516/2015/09/014. https://www.osti.gov/servlets/purl/1270630.
@article{osti_1270630,
title = {A Lagrangian effective field theory},
author = {Vlah, Zvonimir and White, Martin and Aviles, Alejandro},
abstractNote = {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.},
doi = {10.1088/1475-7516/2015/09/014},
url = {https://www.osti.gov/biblio/1270630}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 09,
volume = 2015,
place = {United States},
year = {Wed Sep 02 00:00:00 EDT 2015},
month = {Wed Sep 02 00:00:00 EDT 2015}
}

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Cited by: 78 works
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text, January 2012


Convolution Lagrangian perturbation theory for biased tracers
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text, January 2013


The mass function
text, January 2002


The mildly non-linear regime of structure formation
journal, April 2012


Lagrangian perturbations and the matter bispectrum I: fourth-order model for non-linear clustering
journal, June 2012


N-point statistics of large-scale structure in the Zel'dovich approximation
journal, June 2014


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Works referencing / citing this record:

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 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