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Advances in High Energy Physics
Volume 2016 (2016), Article ID 1068757, 10 pages
http://dx.doi.org/10.1155/2016/1068757
Research Article

Thermodynamic Partition Function from Quantum Theory for Black Hole Horizons in Loop Quantum Gravity

1School of Physics, Indian Institute of Science Education and Research, Thiruvananthapuram (IISER TVM), Trivandrum 695016, India
2Astro-Particle Physics and Cosmology Division, Saha Institute of Nuclear Physics, Kolkata, India

Received 4 June 2016; Revised 16 August 2016; Accepted 30 August 2016

Academic Editor: S. Habib Mazharimousavi

Copyright © 2016 Abhishek Majhi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

We establish the link between the thermodynamics and the quantum theory of black hole horizons through the construction of the thermodynamic partition function, partly based on some physically plausible arguments, by beginning from the description of quantum states of the horizon, considering loop quantum gravity (LQG) as the underlying theory. Although the effective “thermalized” form of the partition function has been previously used in the literature to study the effect of thermal fluctuations of the black hole horizon, nonetheless the direct link to any existing quantum theory (which is here taken to be LQG), especially a derivation of the partition function from the quantum states of the horizon, appears to be hitherto absent. This work is an attempt to bridge this small, but essential, gap that appears to be present between the existing literature of quantum theory and thermodynamics of black holes. Furthermore, it may be emphasized that this work is only concerned with the metric independent approaches to black hole thermodynamics.