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Existence of a Semiclassical Approximation in Loop Quantum Gravity

Marco Frasca
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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.

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Marco Frasca. 2005-08-10. Existence of a Semiclassical Approximation in Loop Quantum Gravity. https://doi.org/10.1007/s10714-005-0185-x

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