Algebraic approach to quantum black holes: Logarithmic corrections to black hole entropy

Gour, Gilad

doi:10.1103/physrevd.66.104022

Cited by 49 publications

(36 citation statements)

References 54 publications

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“…where α is a model-dependent (dimensionless) parameter that reflects our ignorance of the fundamental theory of quantum gravity. That the quantum-corrected entropy does take on just such a form has been demonstrated frequently in the literature; see, for example, [17][18][19] and [20] for many other pertinent citations. Most notably, loop quantum gravity predicts (for a Schwarzschild black hole) a microcanonical contribution to α of −1/2 [21,22].…”

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confidence: 81%

On Hawking Radiation as Tunneling With Logarithmic Corrections

2005

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There has been recent speculation that the tunneling paradigm for Hawking radiation could -after quantum-gravitational effects have suitably been incorporated -provide a means for resolving the (black hole) information loss paradox. A prospective quantum-gravitational effect is the logarithmic-order correction to the Bekenstein-Hawking entropy/area law. In this letter, it is demonstrated that, even with the inclusion of the logarithmic correction (or, indeed, the quantum correction up to any perturbative order), the tunneling formalism is still unable to resolve the stated paradox. Moreover, we go on to show that the tunneling framework effectively constrains the coefficient of this logarithmic term to be non-negative. Significantly, the latter observation implies the necessity for including the canonical corrections in the quantum formulation of the black hole entropy.

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confidence: 81%

On Hawking Radiation as Tunneling With Logarithmic Corrections

2005

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“…We have surveyed some of the alternative derivations of the asymptotic entropy formula (3.10). There are still several others [44,45], particularly with the same leading logarithmic correction as in (3.10), that have appeared over the years. Of these the most recent one is by Davidson where a discrete holographic shell model is proposed for a spherical black hole [45].…”

Section: Rk Kaulmentioning

confidence: 98%

Entropy of Quantum Black Holes

Kaul¹

2012

SIGMA

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Abstract. In the Loop Quantum Gravity, black holes (or even more general Isolated Horizons) are described by a SU (2) Chern-Simons theory. There is an equivalent formulation of the horizon degrees of freedom in terms of a U (1) gauge theory which is just a gauged fixed version of the SU (2) theory. These developments will be surveyed here. Quantum theory based on either formulation can be used to count the horizon micro-states associated with quantum geometry fluctuations and from this the micro-canonical entropy can be obtained. We shall review the computation in SU (2) formulation. Leading term in the entropy is proportional to horizon area with a coefficient depending on the Barbero-Immirzi parameter which is fixed by matching this result with the Bekenstein-Hawking formula. Remarkably there are corrections beyond the area term, the leading one is logarithm of the horizon area with a definite coefficient −3/2, a result which is more than a decade old now. How the same results are obtained in the equivalent U (1) framework will also be indicated. Over years, this entropy formula has also been arrived at from a variety of other perspectives. In particular, entropy of BTZ black holes in three dimensional gravity exhibits the same logarithmic correction. Even in the String Theory, many black hole models are known to possess such properties. This suggests a possible universal nature of this logarithmic correction.

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“…This observation, together with the basic conceptual ideas contained in the pioneering works [2,3,4,5,7,8,10,16,22,24,25,26,27,35,41,44,45,48,52,53,63,64,65,66,68,71,72,74,75,78,80,90,102,106,107], motivated the more recent derivation, performed in [55,56,98], of the horizon theory preserving the full SU (2) boundary symmetry. However, the SU (2) formulation is not unique as there is a one-parameter family of classically equivalent SU (2) connections parametrizations of the horizon degrees of freedom.…”

Section: Entropy Computationmentioning

confidence: 80%

“…The origin of this correction is, therefore, related to the spherical topology of the horizon. Initially, these logarithmic corrections to the formula for black hole entropy in the loop quantum gravity literature were thought to be of the (universal) form ∆S = −1/2 log(a H / 2 p ) [66,68].…”

Section: Entropy Computationmentioning

confidence: 99%

Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity

Diaz-Polo¹

2012

SIGMA

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Abstract. We review the black hole entropy calculation in the framework of Loop Quantum Gravity based on the quasi-local definition of a black hole encoded in the isolated horizon formalism. We show, by means of the covariant phase space framework, the appearance in the conserved symplectic structure of a boundary term corresponding to a Chern-Simons theory on the horizon and present its quantization both in the U (1) gauge fixed version and in the fully SU (2) invariant one. We then describe the boundary degrees of freedom counting techniques developed for an infinite value of the Chern-Simons level case and, less rigorously, for the case of a finite value. This allows us to perform a comparison between the U (1) and SU (2) approaches and provide a state of the art analysis of their common features and different implications for the entropy calculations. In particular, we comment on different points of view regarding the nature of the horizon degrees of freedom and the role played by the Barbero-Immirzi parameter. We conclude by presenting some of the most recent results concerning possible observational tests for theory.

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Algebraic approach to quantum black holes: Logarithmic corrections to black hole entropy

Cited by 49 publications

References 54 publications

On Hawking Radiation as Tunneling With Logarithmic Corrections

On Hawking Radiation as Tunneling With Logarithmic Corrections

Entropy of Quantum Black Holes

Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity

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