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Essential Renormalization Group Equation for Gravity coupled to a Scalar field

High Energy Physics - Theory 2025-09-24 v2 General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.2506.03601,
  title  = {Essential Renormalization Group Equation for Gravity coupled to a Scalar field},
  author = {Nobuyoshi Ohta and Masatoshi Yamada},
  journal= {arXiv preprint arXiv:2506.03601},
  year   = {2025}
}

Comments

32pages, Version published in Phys.Rev.D

R2 v1 2026-07-01T02:58:22.762Z