2019/04/30 by Robert J. Hardwick, Tommi Markkanen, Sami Nurmi · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmological perturbation theory #Cosmology and Gravitation Theories #Formalism (music) #Galaxies: Formation, Evolution, Phenomena #Gravitational wave background #Renormalization group #Resummation #Stochastic process #Yukawa potential #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1088/1475-7516/2019/09/023
published as JCAP 1909 (2019) 023 · 18 pages, 1 figure, 1 appendix, matches accepted version in JCAP
openalex created_date 2019/05/03 · arxiv created 2019/08/19 · openalex publication_date 2019/09/12 · arxiv updated 2019/09/19 · openalex updated_date 2026/08/06
We investigate compatibility between the stochastic infrared (IR) resummation of light test fields on inflationary spacetimes and renormalisation group running of the ultraviolet (UV) physics. Using the Wilsonian approach, we derive improved stochastic Langevin and Fokker-Planck equations which consistently include the renormalisation group effects. With the exception of stationary solutions, these differ from the naive approach of simply replacing the classical potential in the standard stochastic equations with the renormalisation group improved potential. Using this new formalism, we exemplify the IR dynamics with the Yukawa theory during inflation, illustrating the differences between the consistent implementation of the UV running and the naive approach.