Quantum corrections to thermodynamic quantities because of spin fields and the generalized uncertainty principle

2013 ◽  
Vol 91 (5) ◽  
pp. 369-372
Author(s):  
Guqiang Li ◽  
Jiexiong Mo
Keyword(s):  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Quantum Corrections ◽  
Thermodynamic Quantities ◽  
Spin Fields

scholarly journals Maximally Localized States and Quantum Corrections of Black Hole Thermodynamics in the Framework of a New Generalized Uncertainty Principle

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
Yan-Gang Miao ◽  
Ying-Jie Zhao ◽  
Shao-Jun Zhang
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Decay Time ◽  
Generalized Uncertainty Principle ◽  
Minimal Length ◽  
Localized States ◽  
Quantum Corrections ◽  
Thermodynamic Quantities ◽  
Mixing Effect ◽  
Significant Difference

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.

GENERALIZED UNCERTAINTY PRINCIPLE AND THERMODYNAMIC QUANTITIES OF THE ACHUCARRO–ORTIZ BLACK HOLE

2008 ◽  
Vol 23 (11) ◽  
pp. 839-846 ◽  
Author(s):  
REN ZHAO ◽  
YUE-QIN WU ◽  
LI-CHUN ZHANG
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Quantum Corrections ◽  
Thermodynamic Quantities ◽  
Verlinde Formula

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein–Hawking entropy of a black hole. In this paper, we calculate the correction value of thermodynamic quantities of the Achucarro–Oritz black hole motivated by utilizing the generalized uncertainty principle. We obtain the Cardy–Verlinde formula after considering the correction.

scholarly journals Fermions Tunneling and Quantum Corrections for Quintessential Kerr-Newman-AdS Black Hole

2019 ◽  
Vol 2019 ◽  
pp. 1-15 ◽  
Author(s):  
Wajiha Javed ◽  
Rimsha Babar
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Rotation Parameter ◽  
Hawking Temperature ◽  
Quantum Corrections ◽  
Charged Fermion ◽  
Fermions Tunneling

This paper is devoted to study charged fermion particles tunneling through the horizon of Kerr-Newman-AdS black hole surrounded by quintessence by using Hamilton-Jacobi ansatz. In our analysis, we investigate Hawking temperature as well as quantum corrected Hawking temperature on account of generalized uncertainty principle. Moreover, we discuss the effects of correction parameter β on the corrected Hawking temperature Te-H, graphically. We conclude that the temperature Te-H vanishes when β=100, whereas for β<100 and β>100, the temperature turns out to be positive and negative, respectively. We observe that the graphs of Te-H w.r.t. quintessence parameter α exhibit behavior only for the particular ranges, i.e., 0<α<1/6, charge 0<Q≤1, and rotation parameter 0<a≤1. For smaller and larger values of negative Λ, as horizon increases, the temperature decreases and increases, respectively.

scholarly journals The thermodynamics and phase transition of a rainbow black hole

2019 ◽  
Vol 35 (05) ◽  
pp. 2050010
Author(s):  
Zhong-Wen Feng ◽  
De-Ling Tang ◽  
Dan-Dan Feng ◽  
Shu-Zheng Yang
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Phase Transitions ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Thermodynamic System ◽  
Thermodynamic Quantities ◽  
Schwarzschild Black Hole ◽  
First Order Phase Transition ◽  
First Order Phase

In this work, we construct a new kind of rainbow functions, which has generalized uncertainty principle parameter. Then, we investigate modified thermodynamic quantities and phase transition of rainbow Schwarzschild black hole by employing this new kind of rainbow functions. Our results demonstrate that the rainbow gravity and generalized uncertainty principle have a great effect on the picture of Hawking radiation. They prevent black holes from total evaporation and cause a remnant. In addition, after analyzing the modified local thermodynamic quantities, we find that the effect of rainbow gravity and the generalized uncertainty principle lead to one first-order phase transition, two second-order phase transitions and two Hawking–Page-type phase transitions in the thermodynamic system of rainbow Schwarzschild black hole.

scholarly journals The signature of the quadratic generalized uncertainty principle on the newtonian gravity and galaxy mass profile

2021 ◽  
Vol 2098 (1) ◽  
pp. 012001
Author(s):  
F Apryandi ◽  
I H Belfaqih ◽  
A Sulaksono
Keyword(s):  
Uncertainty Principle ◽  
Free Parameter ◽  
Generalized Uncertainty Principle ◽  
Quantum Corrections ◽  
Newtonian Gravity ◽  
First Order ◽  
Equipartition Theorem ◽  
The Galaxy ◽  
Mass Profile ◽  
Law Of Gravity

Abstract In this study, we discuss the corrections implies by the presence of the general uncertainty principle (GUP) on Newton’s law of gravity by virtue of Verlinde’s proposal. We argue here that GUP leads to twofold modification, namely on the equipartition theorem and the holographic relation (Bekenstein-Hawking formula). Hence, following Verlinde’s proposal, we obtain quantum corrections term to the Newtonian gravity. In addition, we also report the quantum corrected mass profile of the galaxy. We restricted our derivation to first order in the GUP’s free parameter and compared it analytically with the other relevant works.

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