The generalized uncertainty principle effect in acoustic black holes

被引：15

作者：

Anacleto, M. A. ^{[1
]}

Brito, F. A. ^{[1
,2
]}

Luna, G. C. ^{[1
]}

Passos, E. ^{[1
]}

机构：

[1] Univ Fed Campina Grande, Dept Fis, Caixa Postal 10071, BR-58429900 Campina Grande, Paraiba, Brazil

[2] Univ Fed Paraiba, Dept Fis, Caixa Postal 5008, BR-58051970 Joao Pessoa, Paraiba, Brazil

来源：

ANNALS OF PHYSICS | 2022年 / 440卷

关键词：

Generalized uncertainty principle; Acoustic black holes; Hawking radiation and entropy; Logarithm corrections to the entropy; Dispersion relations; HAWKING RADIATION; QUANTUM-GRAVITY; TUNNELING RADIATION; MINIMAL LENGTH; ENTROPY; ANALOG; THERMODYNAMICS; SUPERRESONANCE; DIMENSIONS; FIELD;

D O I：

10.1016/j.aop.2022.168837

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We obtain an effective acoustic metric with quantum corrections that are provided by a minimum length implemented by the generalized Heisenberg uncertainty principle (GUP) in the Abelian Higgs model. The effective acoustic metric now depends on the contribution of scalar and vector potentials. We also explore the Hawking radiation and entropy by considering the effective canonical acoustic black hole and find that the modified Hawking temperature leads to logarithm corrections to the entropy. Finally, we investigate the dispersion relations of the model to establish the relationships among the deviations of the group velocity, frequency and temperature due to the GUP.(C) 2022 Elsevier Inc. All rights reserved.

引用

页数：12

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