Renormalization group and logarithmic corrections to scaling relations in conformal sector of 4D gravity

TL;DR

This paper investigates the conformal factor in 4D gravity near a fixed point, deriving renormalization group equations and logarithmic corrections to scaling, with brief cosmological implications.

Contribution

It introduces the renormalization group analysis of the conformal sector in 4D gravity and computes logarithmic corrections to scaling relations.

Findings

Renormalization group equations for the conformal factor are derived.

Logarithmic corrections to scaling relations are obtained.

Brief discussion on cosmological applications of running coupling constants.

Abstract

We study the effective theory of the conformal factor near its infrared stable fixed point.The renormalization group equations for the effective coupling constants are found and their solutions near the critical point are obtained, providing the logarithmic corrections to scaling relations.Some cosmological applications of the running of coupling constants are briefly discussed.