Existence of a Semiclassical Approximation in Loop Quantum Gravity
High Energy Physics - Theory
2010-11-19 v4 General Relativity and Quantum Cosmology
Quantum Physics
Abstract
We consider a spherical symmetric black hole in the Schwarzschild metric and apply Bohr-Sommerfeld quantization to determine the energy levels. The canonical partition function is then computed and we show that the entropy coincides with the Bekenstein-Hawking formula when the maximal number of states for the black hole is the same as computed in loop quantum gravity, proving in this case the existence of a semiclassical limit and obtaining an independent derivation of the Barbero-Immirzi parameter.
Cite
@article{arxiv.hep-th/0411245,
title = {Existence of a Semiclassical Approximation in Loop Quantum Gravity},
author = {Marco Frasca},
journal= {arXiv preprint arXiv:hep-th/0411245},
year = {2010}
}
Comments
6 pages, no figures. Final version accepted for publication in General Relativity and Gravitation