A1 Journal article (refereed)
Renormalisation group improvement in the stochastic formalism (2019)

Hardwick, R. J., Markkanen, T., & Nurmi, S. (2019). Renormalisation group improvement in the stochastic formalism. Journal of Cosmology and Astroparticle Physics, 2019(9), Article 023. https://doi.org/10.1088/1475-7516/2019/09/023

JYU authors or editors

Publication details

All authors or editors: Hardwick, Robert J.; Markkanen, Tommi; Nurmi, Sami

Journal or series: Journal of Cosmology and Astroparticle Physics

eISSN: 1475-7516

Publication year: 2019

Volume: 2019

Issue number: 9

Article number: 023

Publisher: Institute of Physics

Publication country: United Kingdom

Publication language: English

DOI: https://doi.org/10.1088/1475-7516/2019/09/023

Publication open access: Not open

Publication channel open access: 

Publication is parallel published: https://arxiv.org/abs/1904.11373

Abstract

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.

Keywords: cosmology; cosmic inflation; quantum field theory

Free keywords: inflation; particle physics - cosmology connection; physics of the early universe; quantum field theory on curved space

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2019

JUFO rating: 1