The effective field theory of cosmological large scale structures

By J. J. Carrasco, M. Hertzberg, L. Senatore. 2012

535 citations recorded by the source corpus.

A bstractLarge scale structure surveys will likely become the next leading cosmological probe. In our universe, matter perturbations are large on short distances and small at long scales, i.e. strongly coupled in the UV and weakly coupled in the IR. To make precise analytical predictions on large scales, we develop an effective field theory formulated in terms of an IR effective fluid characterized by several parameters, such as speed of sound and viscosity. These parameters, determined by the UV physics described by the Boltzmann equation, are measured from N-body simulations. We find that the speed of sound of the effective fluid is $ c_s^2 \approx {1}{0^{{ - {6}}}}{c^{2}} $ and that the viscosity contributions are of the same order. The fluid describes all the relevant physics at long scales k and permits a manifestly convergent perturbative expansion in the size of the matter perturbations δ(k) for all the observables. As an example, we calculate the correction to the power spectrum at order δ(k)4. The predictions of the effective field theory are found to be in much better agreement with observation than standard cosmological perturbation theory, already reaching percent precision at this order up to a relatively short scale k ⋍ 0.24h Mpc−1.

Subfields: Astronomy and Astrophysics, Instrumentation

View Paper: https://www.semanticscholar.org/paper/16bcc99a252060b37d8c30f973b321f03d29cf41

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In Astronomy and Astrophysics

1. L. Senatore
2. M. Zaldarriaga
3. Guido D'Amico
4. Pierre Zhang
5. D. Baumann
6. Mikhail Ivanov
7. Z. Vlah
8. M. White

In Instrumentation

1. L. Senatore
2. M. White
3. Mikhail Ivanov
4. Z. Vlah
5. Guido D'Amico
6. Pierre Zhang
7. Shi-Fan Chen
8. M. Zaldarriaga

Citations in the corpus

• Biased Tracers in Redshift Space in the EFT of Large-Scale Structure (2016, methodology): “The resulting stochastic field (~x, t) is expected to be Poisson distributed, to have zero mean and to correlate only with itself and not the other perturbative fields [3, 7].”
• The Effective Field Theory of Large Scale Structures at two loops (2013, methodology): “This difference is due only to a difference in the numerical non-linear data that are used in [2] and here.”
• Redshift-space distortions in Lagrangian perturbation theory (2020, background): “A number of technical points In both cases we will only consider the effective field theory (EFT) approach to PT, see [12–17] and references therein.”
• On the statistics of biased tracers in the Effective Field Theory of Large Scale Structures (2015, background): “As usual with quantities that are renormalziaed in perturbation theory, this matching can be done only after the UV behavior is taken into account and renormalization performed (for an early discussion of these subtleties in this context, see [2]).”
• 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].”
• Bias in the effective field theory of large scale structures (2014, methodology): “In the EFTofLSS, dark matter non-linearities induce a stress tensor τij for the long wavelength perturbations that includes a stochastic term: τij ⊃ ∆τij [1, 2].”
• The bispectrum in the Effective Field Theory of Large Scale Structure (2014, background): “[2, 3] the Effective Field Theory of Large Scale Structure (EFTofLSS) has been formulated (see ref.”
• The cosmological analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure (2019, methodology): “[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.”
• Inflation and String Theory (2014, background): “This is one of the objectives of the recently developed ‘effective theory of large-scale structure’ [162,163] (see also [164–169]).”
• On the renormalization of the effective field theory of large scale structures (2013, methodology): “The recently developed Effective Field Theory of Large Scale Structure (EFToLSS) [2, 3, 4] successfully addresses all of the above issues.”