Large-k Limit of Multi-Point Propagators in the RG Formalism

Abstract

Renormalized versions of cosmological perturbation theory have been very successful in recent years in describing the evolution of structure formation in the weakly non-linear regime. The concept of multi-point propagators has been introduced as a tool to quantify the relation between the initial matter distribution and the final one and to push the validity of the approaches to smaller scales. We generalize the n-point propagators that have been considered until now to include a new class of multi-point propagators that are relevant in the framework of the renormalization group formalism. The large-k results obtained for this general class of multi-point propagators match the results obtained earlier both in the case of Gaussian and non-Gaussian initial conditions. We discuss how the large-k results can be used to improve on the accuracy of the calculations of the power spectrum and bispectrum in the presence of initial non-Gaussianities.

30 pages

References in corpus (10)

• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• A critical look at cosmological perturbation theory techniques
• Flowing with Time: a New Approach to Nonlinear Cosmological Perturbations
• Multi-Point Propagators in Cosmological Gravitational Instability
• A Closure Theory for Non-linear Evolution of Cosmological Power Spectra
• Dark matter clustering: a simple renormalization group approach
• Multi-Point Propagators for Non-Gaussian Initial Conditions
• Using the Zeldovich dynamics to test expansion schemes
• Renormalized Newtonian Cosmic Evolution with Primordial Non-Gaussianity
• Next-to-leading resummations in cosmological perturbation theory

Cited by in corpus (2)

• Nonlinear Power Spectrum from Resummed Perturbation Theory: a Leap Beyond the BAO Scale
• Large-scale structure perturbation theory without losing stream crossing