1303.4829 (Abhishek Majhi)

Thermodynamics of Quantum Isolated Horizon in Canonical Ensemble    [PDF]

Abhishek Majhi

The derivation of the microcanonical entropy of a Quantum Isolated Horizon(QIH), directly from the associated quantum Chern-Simons(CS) theory, in terms of the two parameters characterizing the QIH, namely the level of the associated CS theory$(k)$ and the total number of punctures of the QIH$(N)$, is reviewed. With a view to extend the thermodynamic analysis to the Canonical Ensemble a model energy spectrum for the QIH is proposed from a complete quantum view point using the available elements of Loop Quantum Gravity(LQG). The study of thermodynamics of QIH in the Canonical Ensemble reveals that, in the LQG framework, for a quantum spacetime admitting a thermodynamically stable QIH as its internal boundary, must have a specific bound on the Barbero-Immirzi(BI) parameter if the entropy of the QIH obeys the Bekenstein-Hawking Area Law. To mention, the complete analysis, especially the used energy spectrum of the QIH, has been performed from a complete quantum viewpoint.

View original: http://arxiv.org/abs/1303.4829