Renormalization and black hole entropy in Loop Quantum Gravity

TL;DR

This paper discusses how the entropy of black holes in Loop Quantum Gravity depends on the renormalization of fundamental constants, potentially aligning microscopic calculations with the classical Bekenstein-Hawking entropy.

Contribution

It introduces the importance of scale dependence and renormalization in matching Loop Quantum Gravity results with classical black hole entropy.

Findings

Entropy proportional to horizon area in LQG

Renormalization affects Newton's constant and area

Possible agreement with Bekenstein-Hawking entropy after renormalization

Abstract

Microscopic state counting for a black hole in Loop Quantum Gravity yields a result proportional to horizon area, and inversely proportional to Newton's constant and the Immirzi parameter. It is argued here that before this result can be compared to the Bekenstein-Hawking entropy of a macroscopic black hole, the scale dependence of both Newton's constant and the area must be accounted for. The two entropies could then agree for any value of the Immirzi parameter, if a certain renormalization property holds.