Abstract
Computing the 4D Euclidean path integral to one-loop order we find the large quantum corrections that govern the behavior of a spherically symmetric non-supersymmetric near-extremal black hole at very low temperature. These corrections appear from the near-horizon geometry of the near-extremal black hole. Using first-order perturbation theory we find that such corrections arise from the zero modes of the extremal background. In the logarithm of the partition function, these correspond to terms involving logarithm of temperature. Part of our result matches with the existing one in literature derived from an effective Schwarzian theory.
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Acknowledgments
We thank Ashoke Sen for numerous important discussions and suggestions on the work. We are thankful to Shamik Banerjee for discussions and collaborations at the initial stage of this work. We are also thankful to Suvankar Dutta, G.J. Turiaci and V. Suneeta for helpful discussions and comments. NB would like to thank ICTS for its warm hospitality at an important stage of this work. MS would like to thank Arindam Bhattacharjee, Debangshu Mukherjee and Gurmeet for useful discussions and comments. Finally, we would like to thank the people of India for their generous support towards research in basic sciences.
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Banerjee, N., Saha, M. Revisiting leading quantum corrections to near extremal black hole thermodynamics. J. High Energ. Phys. 2023, 10 (2023). https://doi.org/10.1007/JHEP07(2023)010
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DOI: https://doi.org/10.1007/JHEP07(2023)010