- 24,753
- 795
http://arxiv.org/abs/1406.6021
Analytic Continuation of Black Hole Entropy in Loop Quantum Gravity
Jibril Ben Achour (APC - UMR 7164), Amaury Mouchet (LMPT), Karim Noui (APC - UMR 7164, LMPT)
(Submitted on 23 Jun 2014)
We define the analytic continuation of the number of black hole microstates in Loop Quantum Gravity to complex values of the Barbero-Immirzi parameter γ. This construction deeply relies on the link between black holes and Chern-Simons theory. Technically, the key point consists in writing the number of microstates as an integral in the complex plane of a holomorphic function, and to make use of complex analysis techniques to perform the analytic continuation. Then, we study the thermodynamical properties of the corresponding system (the black hole is viewed as a gas of indistinguishable punctures) in the framework of the grand canonical ensemble where the energy is defined à la Frodden-Gosh-Perez from the point of view of an observer located close to the horizon. The semi-classical limit occurs at the Unruh temperature TU associated to this local observer. When γ=±i, the entropy reproduces at the semi-classical limit the area law with quantum corrections. Furthermore, the quantum corrections are logarithmic provided that the chemical potential is fixed to the simple value μ=2TU.
31 pages, 2 figures
http://arxiv.org/abs/1406.5524
Black hole entropy with and without log correction in loop quantum gravity
P. Mitra
(Submitted on 2 Jun 2014)
Earlier calculations of black hole entropy in loop quantum gravity have given a term proportional to the area with a correction involving the logarithm of the area when the area eigenvalue is close to the classical area. However the calculations yield an entropy proportional to the area eigenvalue with no such correction when the area eigenvalue is large compared to the classical area.
6 pages; talk delivered at Light Cone conference, Delhi, 2012, to appear in Nucl. Phys. B, 251-252 (2014)
http://arxiv.org/abs/1406.5518
A 3.55 keV line from DM→a→γ: predictions for cool-core and non-cool-core clusters
Joseph P. Conlon, Andrew J. Powell
http://arxiv.org/abs/1406.5808
3.55 keV X-ray Line Interpretation in Radiative Neutrino Model
Hiroyuki Ishida, Hiroshi Okada
Analytic Continuation of Black Hole Entropy in Loop Quantum Gravity
Jibril Ben Achour (APC - UMR 7164), Amaury Mouchet (LMPT), Karim Noui (APC - UMR 7164, LMPT)
(Submitted on 23 Jun 2014)
We define the analytic continuation of the number of black hole microstates in Loop Quantum Gravity to complex values of the Barbero-Immirzi parameter γ. This construction deeply relies on the link between black holes and Chern-Simons theory. Technically, the key point consists in writing the number of microstates as an integral in the complex plane of a holomorphic function, and to make use of complex analysis techniques to perform the analytic continuation. Then, we study the thermodynamical properties of the corresponding system (the black hole is viewed as a gas of indistinguishable punctures) in the framework of the grand canonical ensemble where the energy is defined à la Frodden-Gosh-Perez from the point of view of an observer located close to the horizon. The semi-classical limit occurs at the Unruh temperature TU associated to this local observer. When γ=±i, the entropy reproduces at the semi-classical limit the area law with quantum corrections. Furthermore, the quantum corrections are logarithmic provided that the chemical potential is fixed to the simple value μ=2TU.
31 pages, 2 figures
http://arxiv.org/abs/1406.5524
Black hole entropy with and without log correction in loop quantum gravity
P. Mitra
(Submitted on 2 Jun 2014)
Earlier calculations of black hole entropy in loop quantum gravity have given a term proportional to the area with a correction involving the logarithm of the area when the area eigenvalue is close to the classical area. However the calculations yield an entropy proportional to the area eigenvalue with no such correction when the area eigenvalue is large compared to the classical area.
6 pages; talk delivered at Light Cone conference, Delhi, 2012, to appear in Nucl. Phys. B, 251-252 (2014)
http://arxiv.org/abs/1406.5518
A 3.55 keV line from DM→a→γ: predictions for cool-core and non-cool-core clusters
Joseph P. Conlon, Andrew J. Powell
http://arxiv.org/abs/1406.5808
3.55 keV X-ray Line Interpretation in Radiative Neutrino Model
Hiroyuki Ishida, Hiroshi Okada
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