A Lagrangian effective field theory

By Z. Vlah, M. White, Alejandro Aviles. 2015

139 citations recorded by the source corpus.

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. All the perturbative models fare better than linear theory.

Subfields: Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/c8c080222b993d45e9b8e7208638670cfde1faef

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In Astronomy and Astrophysics

1. Z. Vlah
2. Mikhail Ivanov
3. Shi-Fan Chen
4. O. Philcox
5. M. White
6. M. Simonovi'c
7. M. Zaldarriaga
8. L. Senatore

Citations in the corpus

• Nonlinear perturbation theory extension of the Boltzmann code CLASS (2020, methodology): “While CLASS-PT is entirely based on Eulerian perturbation theory, it is worth emphasizing that similar progress has been made in Lagrangian Perturbation Theory (LPT) as well [61–66].”
• Redshift-space distortions in Lagrangian perturbation theory (2020, background): “These solutions contain parametrizeable dependences on small-scale physics which are captured by including additional effective-theory counterterms [14, 15].”
• Consistent modeling of velocity statistics and redshift-space distortions in one-loop perturbation theory (2020, methodology): “In this paper we shall consider 1-loop perturbation theory in both the Eulerian (EPT; [16–27]) and Lagrangian (LPT; [28–39]) formulations, and their extensions as an effective field theories [39–41].”
• Cosmological parameters from the BOSS galaxy power spectrum (2019, methodology): “For some more recent progress in modeling the BAO peak for dark matter and biased tracers in real and redshift space using models based on LPT see [23, 24].”