Renormalisation group improvement in the stochastic formalism

Autor:	Hardwick, Robert J., Markkanen, Tommi, Nurmi, Sami
Rok vydání:	2019
Předmět:	High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology
Zdroj:	JCAP 1909 (2019) 023
Druh dokumentu:	Working Paper
DOI:	10.1088/1475-7516/2019/09/023
Popis:	We investigate compatibility between the stochastic infrared (IR) resummation of light test fields on inflationary spacetimes and renormalisation group running of the ultra-violet (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. Comment: 18 pages, 1 figure, 1 appendix, matches accepted version in JCAP
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1904.11373 Zobrazit plný text záznamu View this record from Arxiv