On the IR divergences in de Sitter space: loops, resummation and the semi-classical wavefunction

• DOI: 10.1007/jhep04(2024)004
• Publication Date: 2024-04-03T07:02:11Z
• Authors: Sebastián Céspedes; Anne-Christine Davis; Dong-Gang Wang
• Keywords: Resummation; Anti-de Sitter space

A bstract In this paper, we revisit the infrared (IR) divergences in de Sitter (dS) space using wavefunction method, and explicitly explore how resummation of higher-order loops leads to stochastic formalism. light recent developments cosmological bootstrap, track behaviour these nontrivial IR effects from perturbation theory non-perturbative regime. Specifically, first examine perturbative computation coefficients, show that there is a clear distinction between classical components tree-level diagrams quantum ones loop processes. Cosmological correlators at level receive contributions which dub loops. This significantly simplifies analysis loop-level divergences, as find leading always come Then compare with computation, results are essentially loops, while only present subleading corrections. demonstrates contained semi-classical all diagrams. With insight, go beyond new derivation formalism saddle-point approximation. We Fokker-Planck equation follows consequence two effects: drift Schrödinger describes bulk time evolution, diffusion Polchinski’s corresponds exact renormalization group flow coarse-grained on boundary. Our highlights precise simple link wavefunction.