Maximally Localized States and Quantum Corrections of Black Hole Thermodynamics in the Framework of a New Generalized Uncertainty Principle
As a generalized uncertainty principle (GUP) leads to the effects of the minimal length of the order of the Planck scale and UV/IR mixing, some significant physical concepts and quantities are modified or corrected correspondingly. On the one hand, we derive the maximally localized states—the physic...
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doaj-5359d74af0a4462cb28bcf12fb3beacc2020-11-24T23:59:43ZengHindawi LimitedAdvances in High Energy Physics1687-73571687-73652015-01-01201510.1155/2015/627264627264Maximally Localized States and Quantum Corrections of Black Hole Thermodynamics in the Framework of a New Generalized Uncertainty PrincipleYan-Gang Miao0Ying-Jie Zhao1Shao-Jun Zhang2School of Physics, Nankai University, Tianjin 300071, ChinaSchool of Physics, Nankai University, Tianjin 300071, ChinaCenter of Astronomy and Astrophysics, Shanghai Jiao Tong University, Shanghai 200240, ChinaAs a generalized uncertainty principle (GUP) leads to the effects of the minimal length of the order of the Planck scale and UV/IR mixing, some significant physical concepts and quantities are modified or corrected correspondingly. On the one hand, we derive the maximally localized states—the physical states displaying the minimal length uncertainty associated with a new GUP proposed in our previous work. On the other hand, in the framework of this new GUP we calculate quantum corrections to the thermodynamic quantities of the Schwardzschild black hole, such as the Hawking temperature, the entropy, and the heat capacity, and give a remnant mass of the black hole at the end of the evaporation process. Moreover, we compare our results with that obtained in the frameworks of several other GUPs. In particular, we observe a significant difference between the situations with and without the consideration of the UV/IR mixing effect in the quantum corrections to the evaporation rate and the decay time. That is, the decay time can greatly be prolonged in the former case, which implies that the quantum correction from the UV/IR mixing effect may give rise to a radical rather than a tiny influence to the Hawking radiation.http://dx.doi.org/10.1155/2015/627264 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yan-Gang Miao Ying-Jie Zhao Shao-Jun Zhang |
spellingShingle |
Yan-Gang Miao Ying-Jie Zhao Shao-Jun Zhang Maximally Localized States and Quantum Corrections of Black Hole Thermodynamics in the Framework of a New Generalized Uncertainty Principle Advances in High Energy Physics |
author_facet |
Yan-Gang Miao Ying-Jie Zhao Shao-Jun Zhang |
author_sort |
Yan-Gang Miao |
title |
Maximally Localized States and Quantum Corrections of Black Hole Thermodynamics in the Framework of a New Generalized Uncertainty Principle |
title_short |
Maximally Localized States and Quantum Corrections of Black Hole Thermodynamics in the Framework of a New Generalized Uncertainty Principle |
title_full |
Maximally Localized States and Quantum Corrections of Black Hole Thermodynamics in the Framework of a New Generalized Uncertainty Principle |
title_fullStr |
Maximally Localized States and Quantum Corrections of Black Hole Thermodynamics in the Framework of a New Generalized Uncertainty Principle |
title_full_unstemmed |
Maximally Localized States and Quantum Corrections of Black Hole Thermodynamics in the Framework of a New Generalized Uncertainty Principle |
title_sort |
maximally localized states and quantum corrections of black hole thermodynamics in the framework of a new generalized uncertainty principle |
publisher |
Hindawi Limited |
series |
Advances in High Energy Physics |
issn |
1687-7357 1687-7365 |
publishDate |
2015-01-01 |
description |
As a generalized uncertainty principle (GUP) leads to the effects of the minimal length of the order of the Planck scale and UV/IR mixing, some significant physical concepts and quantities are modified or corrected correspondingly. On the one hand, we derive the maximally localized states—the physical states displaying the minimal length uncertainty associated with a new GUP proposed in our previous work. On the other hand, in the framework of this new GUP we calculate quantum corrections to the thermodynamic quantities of the Schwardzschild black hole, such as the Hawking temperature, the entropy, and the heat capacity, and give a remnant mass of the black hole at the end of the evaporation process. Moreover, we compare our results with that obtained in the frameworks of several other GUPs. In particular, we observe a significant difference between the situations with and without the consideration of the UV/IR mixing effect in the quantum corrections to the evaporation rate and the decay time. That is, the decay time can greatly be prolonged in the former case, which implies that the quantum correction from the UV/IR mixing effect may give rise to a radical rather than a tiny influence to the Hawking radiation. |
url |
http://dx.doi.org/10.1155/2015/627264 |
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