Renormalization and black hole entropy in Loop Quantum Gravity

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.

8 pages; v2: references added, typos corrected, version to appear in CQG

References in corpus (4)

• Quantum geometry and microscopic black hole entropy
• Scale-dependent metric and causal structures in Quantum Einstein Gravity
• Loop quantum gravity and Planck-size black hole entropy
• Considering boundary conditions for black hole entropy in loop quantum gravity

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• Perturbative quantum gravity with the Immirzi parameter
• Quantum evolution of black hole initial data sets: Foundations
• Black Holes as Quantum Gravity Condensates
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• Quantum theory of charged isolated horizons
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