Multi-Point Propagators in Cosmological Gravitational Instability
| dc.creator | Bernardeau, Francis | |
| dc.creator | Crocce, Martin | |
| dc.creator | Scoccimarro, Roman | |
| dc.date | 2008-06-16 | |
| dc.date | 2008-12-11 | |
| dc.date.accessioned | 2026-07-07T12:44:38Z | |
| dc.date.available | 2026-07-07T12:44:38Z | |
| dc.description | We introduce the concept of multi-point propagators between linear cosmic fields and their nonlinear counterparts in the context of cosmological perturbation theory. Such functions express how a non-linearly 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 multi-point 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 multi-point 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. | |
| dc.description | 21 pages, 14 figures. Minor changes to match published version (Fig 11 changed, added reference) | |
| dc.identifier | https://arxiv.org/abs/0806.2334 | |
| dc.identifier | http://arxiv.org/abs/0806.2334 | |
| dc.identifier | Phys.Rev.D78:103521,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.78.103521 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/220835 | |
| dc.subject | Astrophysics | |
| dc.title | Multi-Point Propagators in Cosmological Gravitational Instability | |
| dc.type | text |