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Back reaction, covariant anomaly and effective action

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Abstract

In the presence of back reaction, we first produce the one-loop corrections for the event horizon and Hawking temperature of the Reissner-Nordström black hole. Then, based on the covariant anomaly cancelation method and the effective action technique, the modified expressions for the fluxes of gauge current and energy momentum tensor, due to the effect of back reaction, are obtained. The results are consistent with the Hawking fluxes of a (1+1)-dimensional blackbody at the temperature with quantum corrections, thus confirming the robustness of the covariant anomaly cancelation method and the effective action technique for black holes with back reaction.

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  1. Institute of Theoretical Physics, China West Normal University, Nanchong, Sichuan, 637002, People’s Republic of China

    Qing-Quan Jiang

  2. Institute of Particle Physics, Central China Normal University, Wuhan, Hubei, 430079, People’s Republic of China

    Qing-Quan Jiang & Xu Cai

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Jiang, QQ., Cai, X. Back reaction, covariant anomaly and effective action. J. High Energ. Phys. 2010, 12 (2010). https://doi.org/10.1007/JHEP05(2010)012

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