Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system.

Autor: Hamada, Yuta, Yamada, Masatoshi
Předmět:
Zdroj: Journal of High Energy Physics; Aug2017, Vol. 2017 Issue 8, p1-60, 60p
Abstrakt: We study asymptotic safety of models of the higher derivative quantum gravity with and without matter. The beta functions are derived by utilizing the functional renormalization group, and non-trivial fixed points are found. It turns out that all couplings in gravity sector, namely the cosmological constant, the Newton constant, and the R and R coupling constants, are relevant in case of higher derivative pure gravity. For the Higgs-Yukawa model non-minimal coupled with higher derivative gravity, we find a stable fixed point at which the scalar-quartic and the Yukawa coupling constants become relevant. The relevant Yukawa coupling is crucial to realize the finite value of the Yukawa coupling constants in the standard model. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index