Influence of a minimal length on the creation of scalar particles

Haouat, S.; Nouicer, Khireddine

doi:10.1103/physrevd.89.105030

Cited by 25 publications

(18 citation statements)

References 69 publications

(93 reference statements)

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“…which agrees -up to a constant numerical factor in the second term linear in E -with the the result in [52] obtained using a more rigorous method 9 . This gives another support to the validity of our heuristic method.…”

Section: The Sign Of Extended Uncertainty Principle Parametersupporting

confidence: 85%

Schwinger pair production and the extended uncertainty principle: can heuristic derivations be trusted?

Ong

2020

Eur. Phys. J. C

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The rate of Schwinger pair production due to an external electric field can be derived heuristically from the uncertainty principle. In the presence of a cosmological constant, it has been argued in the literature that the uncertainty principle receives a correction due to the background curvature, which is known as the “extended uncertainty principle” (EUP). We show that EUP does indeed lead to the correct result for Schwinger pair production rate in anti-de Sitter spacetime (the case for de Sitter spacetime is similar), provided that the EUP correction term is negative (positive for the de Sitter case). We compare the results with previous works in the EUP literature, which are not all consistent. Our result further highlights an important issue in the literature of generalizations of the uncertainty principle: how much can heuristic derivations be trusted?

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Section: The Sign Of Extended Uncertainty Principle Parametersupporting

confidence: 85%

Schwinger pair production and the extended uncertainty principle: can heuristic derivations be trusted?

Ong

2020

Eur. Phys. J. C

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“…Incorporating GUP into black holes, many fruits have been achieved [21,22,23,24,25,27,28,29]. The minimal mass was discussed in the modified Schwarzschild spacetime characterized by a finite Kretschmann scalar in [29].…”

Section: Introductionmentioning

confidence: 99%

“…The minimal mass was discussed in the modified Schwarzschild spacetime characterized by a finite Kretschmann scalar in [29]. In [28], the authors studied the creation of scalar particles pair by an electric field in the presence of a minimal length. The thermodynamical properties were investigated in [22,25].…”

Section: Introductionmentioning

confidence: 99%

Quantum Gravity Corrections to the Tunneling Radiation of Scalar Particles

2016

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The original derivation of Hawking radiation shows the complete evaporation of black holes. However, theories of quantum gravity predict the existence of the minimal observable length. In this paper, we investigate the tunneling radiation of the scalar particles by introducing quantum gravity effects influenced by the generalized uncertainty principle. The Hawking temperatures are not only determined by the properties of the black holes, but also affected by the quantum numbers of the emitted particles. The quantum gravity corrections slow down the increase of the temperatures. The remnants are found during the evaporation.

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“…First, it is noted that the problem of scalar particles pair creation by an electric field in the presence of a minimal length is also studied in ref. [13]. The authors considered another GUP of form…”

Section: Discussionmentioning

confidence: 99%

Minimal Length Effects on Schwinger Mechanism*

Wang

Yang

2015

Commun. Theor. Phys.

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In this paper, we investigate effects of the minimal length on the Schwinger mechanism using the quantum field theory (QFT) incorporating the minimal length. We first study the Schwinger mechanism for scalar fields in both usual QFT and the deformed QFT. The same calculations are then performed in the case of Dirac particles. Finally, we discuss how our results imply for the corrections to the Unruh temperature and the Hawking temperature due to the minimal length.

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Influence of a minimal length on the creation of scalar particles

Cited by 25 publications

References 69 publications

Schwinger pair production and the extended uncertainty principle: can heuristic derivations be trusted?

Schwinger pair production and the extended uncertainty principle: can heuristic derivations be trusted?

Quantum Gravity Corrections to the Tunneling Radiation of Scalar Particles

Minimal Length Effects on Schwinger Mechanism*

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