Black Holes microstates in Canonical Quantum Gravity
Prof.Karim NOUI(Université de Tours)
Amphithéâtre Léon Motchane (Institut des Hautes Etudes Scientifiques)
Amphithéâtre Léon Motchane
Institut des Hautes Etudes Scientifiques
35, route de Chartres
In the context of Loop Quantum Gravity, Black Holes are closely related to Chern-Simons theory on a punctured 2-sphere with SU(2) gauge group. Using this link, one can describe precisely the space of microstates for the Black Holes and compute the corresponding statistical entropy. However, it turns out that the entropy depends on the unphysical Immirzi parameter γ. But, using a suitable analytic continuation of γ to complex values, we show that the entropy reproduces the expected Bekenstein-Hawking expression when γ = ± i at the semi-classical limit. This remarkable result has a nice and clear geometric interpretation and many very interesting physical consequences. In particular, we show that, at the semi-classical limit, the Black Hole microstates (at the vicinity of the horizon) are particles in equilibrium at the Unruh temperature.