Abstract
In this paper we study the thermodynamics of black branes at quantum scales. We analyze both perturbative and non-perturbative corrections to the thermodynamics of such black branes. It will be observed that these corrections will modify the relation between the entropy and area of these black branes. This will in turn modify their specific heat, and thus their stability. So, such corrections can have important consequences for the stability of black branes at quantum scales. We also analyze the effect of these perturbative and non-perturbative quantum corrections on various other thermodynamic quantities. Then, we obtain the metric for the quantum corrected geometry for black branes.
Highlights
Black braneIt is possible to analyze a black brane solution. Such black branes have translational symmetry in spatial directions
JHEP10(2021)050 perturbative quantum corrections to various black holes have been obtained from thermal fluctuations [25,26,27,28]
In this paper we study the thermodynamics of black branes at quantum scales
Summary
It is possible to analyze a black brane solution. Such black branes have translational symmetry in spatial directions. It is interesting to go beyond the supergravity approximation and analyze the quantum corrections to such a solution Even though it is not known how such non-perturbative quantum corrections can be explicitly obtained, it is known that they would modify the relation between the area and entropy of black branes. Perturbative [25,26,27,28] and non-perturbative [31, 32] quantum corrections to the entropy of any black object is a well defined function of the original area As this functional form of the corrected entropy is known it can be used to analyze the quantum corrections to the stability of black branes, without explicitly calculating the corrections to the low energy effective action. In this analysis, we are not able to fix the value of the parameter space of these corrections, (α, λ, η), and so here we will analyze the stability for general values of these parameters
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