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Statistical Mechanical and Thermodynamic Entropies of the Einstein-Maxwell Dilaton-Axion Black Hole

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Abstract

We discuss the connection between the statistical mechanical andthermodynamic entropies due to the nonminimally coupled scalar fields on theEinstein-Maxwell dilaton-axion black hole spacetime. It is demonstrated thatalthough the statistical mechanical entropy and one-loop correction to thethermodynamic entropy are equivalent for coupling ξ ≤ 0, the presence ofthe bare pure geometrical contribution excludes the possibility to identify thestatistical mechanical entropy with the thermodynamic entropy if we use thestandard renormalization scheme.

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Authors and Affiliations

  1. Physics Department and Institute of Physics, Hunan Normal University, Changsha, Hunan, 410081, China

    Jiliang Jing

  2. Department of Astronomy and Applied Physics, University of Science and Technology of China, Hefei, Anhui, 230026, China

    Jiliang Jing & Mu-Lin Yan

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  1. Jiliang Jing
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  2. Mu-Lin Yan
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Jing, J., Yan, ML. Statistical Mechanical and Thermodynamic Entropies of the Einstein-Maxwell Dilaton-Axion Black Hole. International Journal of Theoretical Physics 39, 239–251 (2000). https://doi.org/10.1023/A:1003671822862

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