Renormalization Group approach to Gravity: the running of G and L inside galaxies and additional details on the elliptical NGC 4494

TL;DR

This paper investigates how quantum effects modeled by the Renormalization Group influence gravity within galaxies, specifically analyzing the elliptical galaxy NGC 4494, and presents an extended model with improved parameter agreement.

Contribution

It introduces an extended RGGR model with detailed solutions for the running of G and L, applying it to NGC 4494 and refining previous baryonic contribution assumptions.

Findings

Better parameter agreement with RGGR for NGC 4494

Indication of larger radial anisotropy in galaxy dynamics

Extended model details on the effective potential and Poisson equation

Abstract

We explore the phenomenology of nontrivial quantum effects on low-energy gravity. These effects come from the running of the gravitational coupling parameter G and the cosmological constant L in the Einstein-Hilbert action, as induced by the Renormalization Group (RG). The Renormalization Group corrected General Relativity (RGGR model) is used to parametrize these quantum effects, and it is assumed that the dominant dark matter-like effects inside galaxies is due to these nontrivial RG effects. Here we present additional details on the RGGR model application, in particular on the Poisson equation extension that defines the effective potential, also we re-analyse the ordinary elliptical galaxy NGC 4494 using a slightly different model for its baryonic contribution, and explicit solutions are presented for the running of G and L. The values of the NGC 4494 parameters as shown here have a better agreement with the general RGGR picture for galaxies, and suggest a larger radial anisotropy than the previously published result.