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Quantum corrections to the spectroscopy of a BTZ black hole via periodicity

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Abstract

Quantum corrections to the area spectrum and the entropy spectrum of a BTZ black hole are calculated by equaling the motion period of an outgoing wave coming from the quantum corrections of the semiclassical action to the period of gravitational system with respect to the Euclidean time. We find that the area spectrum and the entropy spectrum are independent of the properties of particles. Furthermore, in the presence of higher-order quantum corrections, the area spectrum is found to be corrected by inverse area terms while the entropy spectrum is found to have a universal form, \(\varDelta S_{BH}=2\pi \). Both results show that the entropy spectrum is independent of not only the BTZ black hole parameters but also the higher-order quantum corrections, which implies that the entropy spectrum is more natural than the area spectrum in quantum gravity theory.

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Acknowledgments

This research is supported by the National Natural Science Foundation of China (Grant Nos. 11365008, 61364030). It is also supported by the Natural Science Fund of Education department of Hubei Province (Grant No. Q20131901) and the Natural Science Fund of Education department of Sichuan Province ( Grant No. 13ZA0103).We sincerely thank the editors and the anonymous reviewers for their hard, excellent, and careful work on this manuscript.

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Authors and Affiliations

  1. Department of Physics, Hubei University for Nationalities, Enshi, 445000, Hubei, China

    Xian-Ming Liu & Xin-Yun Hu

  2. Department of Physics and Engineering Technology, Sichuan University of Arts and Science, Dazhou, 635000, Sichuan, China

    Qiang Li

  3. School of Science, Chongqing Jiaotong University, Nanan, 400074, Chongqing, China

    Xiao-Xiong Zeng

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  1. Xian-Ming Liu
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  2. Xin-Yun Hu
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  4. Xiao-Xiong Zeng
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Correspondence to Xiao-Xiong Zeng.

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Liu, XM., Hu, XY., Li, Q. et al. Quantum corrections to the spectroscopy of a BTZ black hole via periodicity. Gen Relativ Gravit 46, 1627 (2014). https://doi.org/10.1007/s10714-013-1627-5

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