Multipoint propagators in cosmological gravitational instability
By F. Bernardeau, Martín Crocce, R. Scoccimarro. 2008
140 citations recorded by the source corpus.
We introduce the concept of multipoint propagators between linear cosmic fields and their nonlinear counterparts in the context of cosmological perturbation theory. Such functions express how a nonlinearly evolved Fourier mode depends on the full ensemble of modes in the initial density field. We identify and resum the dominant diagrams in the large-k limit, showing explicitly that multipoint propagators decay into the nonlinear regime at the same rate as the two-point propagator. These analytic results generalize the large-k limit behavior of the two-point propagator to arbitrary order. We measure the three-point propagator as a function of triangle shape in numerical simulations and confirm the results of our high-k resummation. We show that any n-point spectrum can be reconstructed from multipoint propagators, which leads to a physical connection between nonlinear corrections to the power spectrum at small scales and higher-order correlations at large scales. As a first application of these results, we calculate the reduced bispectrum at one loop in renormalized perturbation theory and show that we can predict the decrease in its dependence on triangle shape at redshift zero, when standard perturbation theory is least successful.
Subfields: Astronomy and Astrophysics
View Paper: https://www.semanticscholar.org/paper/75745402e2e6b9ff4ce9782c85413b54da95d7ff
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In Astronomy and Astrophysics
Citations in the corpus
- The bispectrum in the Effective Field Theory of Large Scale Structure (2014, background): “[24] provide a comparison with data from numerical simulations showing the reduced bispectrum as a function of the angle between k1 and k2 while fixing them at k1 = 0.”
- Primordial Non-Gaussianity and Bispectrum Measurements in the Cosmic Microwave Background and Large-Scale Structure (2010, background): “A step in the direction of improved predictions is offered by the promising results of Renormalized Perturbation Theory (Bernardeau et al., 2008; Crocce & Scoccimarro, 2006a,b) and of the Renormalization Group approach (Matarrese & Pietroni, 2007; Pietroni, 2008).”
- The cosmological analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure (2019, background): “few of the perturbative approaches that were developed prior to the EFTofLSS and that were essential for the development of the EFTofLSS, and we list a very-small sample of the relevant references: Zeldovich approximation [11], SPT [14, 15], LPT [16], RPT [17], MPTbreeze [18, 19], RegPT [20], CLPT [”