The Lagrangian-space Effective Field Theory of large scale structures

By Rafael A. Porto, L. Senatore, M. Zaldarriaga. 2013

212 citations recorded by the source corpus.

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 kNL. 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.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/1e6188a3ad76043306a11a15b4060f3b088063ba

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Citations in the corpus

On the statistics of biased tracers in the Effective Field Theory of Large Scale Structures (2015, methodology): “4 IR-resummation As detailed in [7, 12], in the EFTofLSS, after the renormalization is performed, the loop expansion, complemented by the insertion of the relevant higher order bias coefficients, corresponds to an expansion in the parameters that regulate the dark matter expansion, those are δ< and ”
The Hubble tension in light of the Full-Shape analysis of Large-Scale Structure data (2020, methodology): “2The initial formulation of the EFTofLSS was performed in Eulerian space in [7, 8], and subsequently extended to Lagrangian space in [9].”
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].”
Limits on wCDM from the EFTofLSS with the PyBird code (2020, methodology): “2The initial formulation of the EFTofLSS was performed in Eulerian space in [7, 8], and subsequently extended to Lagrangian space in [9].”
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].”
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].”
The Effective Field Theorist's Approach to Gravitational Dynamics (2016, methodology): “22) which, after isolating the UV part, reduces to [153]”
Bias in the effective field theory of large scale structures (2014, methodology): “They induce overdensities of dark matter not only through their clustering, but also through the energy associated to the deformations of their multipoles [3]”
A Lagrangian effective field theory (2015, methodology): “[36] we note that the second term on the r.”
Renormalized halo bias (2014, background): “The approach taken here can likely be adapted to the Lagrangian EFT-of-LSS [28].”
The cosmological analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure (2019, background): “[1], and this paper which should be understood as a companion, are the completion of a long journey for the EFTofLSS, which started with the initial development of the theory [7, 8, 9] and underwent many important steps in order for it to be compared to observational data.”
Biased Tracers in Redshift Space in the EFT of Large-Scale Structure (2016, background): “years the Effective Field Theory of Large-Scale Structure 1 (EFTofLSS) [2, 3, 4, 5] has provided a tool where predictions in the mildly non-linear regime can be delivered with an at-least-in-principle arbitrary theoretical precision, and most probably with a precision that should be enough for next ”