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Essential Renormalization Group Equation for Gravity coupled to a Scalar field

2025/06/04 by Nobuyoshi Ohta, Ohta, Nobuyoshi, Masatoshi Yamada +1 · 3 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.2506.03601

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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