Existence of a Semiclassical Approximation in Loop Quantum Gravity

Details Existence of a Semiclassical Approximation in Loop Quantum Gravity Existence of a Semiclassical Approximation in Loop Quantum Gravity

2004-11-26

arxiv.org/abs/hep-th/0411245v4

Gen.Rel.Grav.37:2239-2243,2005

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, no figures. Final version accepted for publication in General Relativity and Gravitation

Scientific paper

10.1007/s10714-005-0185-x

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.

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