Gravitational renormalization group solutions and paticular effective actions

TL;DR

This paper investigates the functional renormalization group equation in gravity with background matter, deriving effective actions and confirming the Newton coupling through vacuum divergence elimination.

Contribution

It introduces solutions to the renormalization group equations in gravity with background matter and normalizes quantum corrected actions to Einstein systems.

Findings

Confirmed Newton coupling via vacuum divergence elimination

Derived Einstein and Stravinski effective actions with mass dependence

Established normalization techniques for quantum corrected actions

Abstract

We study the functional renormalization group equation and its solutions of the gravity having the background matters. From the system equivalence eliminating vacuum divergence, we are confirmed to give Newton coupling. We also give the path integral partition function technique to normalize setups of quantum corrected actions down to Einstein systems. Briefly, Einstein effective action and Stravinski effective action are come to the mass dependence with the appropriate cosmological constant.