Essential Renormalization Group Equation for Gravity coupled to a Scalar field

Nobuyoshi Ohta, Masatoshi Yamada

Published: 2025/6/4

Abstract

We study the essential renormalization group equation, in which inessential couplings are removed via field redefinitions, for Einstein gravity coupled to a massive scalar field in the presence of a cosmological constant. Our results indicate that perturbatively nonrenormalizable terms can be eliminated due to the cosmological term, in contrast to the case of perturbation around flat spacetime. We find a nontrivial fixed point for the Newton coupling and the cosmological term.

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