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Quantum entropy of Dirac fields in black holes

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Abstract

We use the brick-wall model to study the quantum entropy of the Dirac field in a static black hole with a global monopole or a cosmic string. We show that the entropy of the Dirac field contains a quadratically divergent term and two logarithmically divergent ones and it is not proportional to the entropy of the scalar field. The contribution of the logarithmic term to the entropy depends on the black-hole characteristics and is always negative.

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Authors and Affiliations

  1. School of Information Technology and Science, Zhanjiang Normal College, Zhanjiang, Guangdong, China

    Gu-Qiang Li

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  1. Gu-Qiang Li
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 149, No. 1, pp. 60–64, October, 2006.

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Li, GQ. Quantum entropy of Dirac fields in black holes. Theor Math Phys 149, 1349–1353 (2006). https://doi.org/10.1007/s11232-006-0123-4

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  • DOI: https://doi.org/10.1007/s11232-006-0123-4

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