Remnants, fermions’ tunnelling and effects of quantum gravity

Chen, Deyou; Jiang, Qing-Quan; Wang, Peng; Yang, Haitang

doi:10.1007/jhep11(2013)176

Cited by 73 publications

(58 citation statements)

References 66 publications

(67 reference statements)

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“…For the noncovariant realization, the deformed Hamilton-Jacobi method incorporated with the GUP was studied in [29][30][31][32][33][34]. There, it has been shown that the corrections to the standard Hawking temperature depend on the masses and angular momentums of the emitted particles in a nontrivial way.…”

Section: Discussionmentioning

confidence: 99%

“…There, it has been shown that the corrections to the standard Hawking temperature depend on the masses and angular momentums of the emitted particles in a nontrivial way. In some cases, such corrections could lead to the remnant being left in the evaporation [29][30][31].…”

Section: Discussionmentioning

confidence: 99%

“…Similarly, one can also use HamiltonJacobi method to calculate effects of quantum gravity on particles' tunneling. Recently, the GUP modified HamiltonJacobi equations for fermions in curved spacetime have been introduced and the corrected Hawking temperatures have been derived [29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

“…When generalized to curved spacetime using the minimal-coupling principle, the Lorentz invariant deformed Klein-Gordon (KG) equation or Dirac equation becomes covariant. On the other hand, the deformed commutation relations in [15] are not Lorentz invariant and hence the deformed Dirac equation built on them in [30,31,33] is not covariant.…”

Section: Introductionmentioning

confidence: 99%

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Covariant GUP Deformed Hamilton-Jacobi Method

Wang

Yang

2017

Advances in High Energy Physics

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We first briefly revisit the original Hamilton-Jacobi method and show that the Hamilton-Jacobi equation for the action of tunneling of a fermionic particle from a charged black hole can be written in the same form of that for a scalar particle. On the other hand, various theories of quantum gravity suggest the existence of a minimal length scale, incorporating of which into quantum mechanics implies a modification of the uncertainty principle. In the scenario incorporating the generalized uncertainty principle (GUP) into a quantum field theory (QFT) in a covariant way, we derive the deformed model-independent KG/Dirac and Hamilton-Jacobi equations using the methods of effective field theory. For this Lorentz invariant GUP modified QFT, we find that the effect of GUP on the Hamilton-Jacobi equations is simply to "renormalize" the mass of the emitted particles, from to eff . Therefore, in this scenario, the Hawking temperature of a black hole does not receive any corrections from the GUP effect.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Covariant GUP Deformed Hamilton-Jacobi Method

Wang

Yang

2017

Advances in High Energy Physics

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“…Taking into account the effects of quantum gravity, the semi-classical tunneling method was reviewed in the recent work [30][31][32]. In [30,31], the tunneling of massless particles through the quantum horizon of a Schwarzschild black hole was investigated by the influence of the generalized uncertainty principle (GUP).…”

Section: Introductionmentioning

confidence: 99%

Dirac particles’ tunneling from five-dimensional rotating black strings influenced by the generalized uncertainty principle

Chen

2014

Eur. Phys. J. C

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The standard Hawking formula predicts the complete evaporation of black holes. Taking into account the effects of quantum gravity, we investigate the tunneling of fermions from a five-dimensional rotating black string. The temperature is not only determined by the string, but also affected by the quantum numbers of the emitted fermion and the effect of the extra spatial dimension. The quantum correction slows down the increase of the temperature, which naturally leads to a remnant in the evaporation.

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Massive vector particle tunneling from Kerr-Newman-de Sitter black hole under generalized uncertainty principle

Singh

2023

J. High Energ. Phys.

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The quantum tunneling of charged massive vector boson particles across the event horizon of Kerr-Newman-de Sitter black hole is investigated under the influence of quantum gravity effects. The modified Hawking temperatures and heat capacities across the event horizon of KNdS black hole are derived in 3-dimensional and 4-dimensional frame dragging coordinates. It is found that due to quantum gravity effects the modified Hawking temperatures and heat capacities depend on the mass and angular momentum of the emitted vector boson particles. For 3-dimensional KNdS black hole, the modified Hawking temperature is lower than the original Hawking temperature but the modified heat capacity is higher than the original heat capacity due to quantum gravity effects. In the case of 4-dimensional KNdS black hole, the modified Hawking temperature and heat capacity are lower or greater than the original Hawking temperature and heat capacity depending upon the choices of black hole parameters due to quantum gravity effects. We also discuss the remnant and graphical analysis of the modified Hawking temperatures and heat capacities.

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Remnants, fermions’ tunnelling and effects of quantum gravity

Cited by 73 publications

References 66 publications

Covariant GUP Deformed Hamilton-Jacobi Method

Covariant GUP Deformed Hamilton-Jacobi Method

Dirac particles’ tunneling from five-dimensional rotating black strings influenced by the generalized uncertainty principle

Massive vector particle tunneling from Kerr-Newman-de Sitter black hole under generalized uncertainty principle

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