Revisiting Leading Quantum Corrections to Near Extremal Black Hole Thermodynamics

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.

35 pages, 1 figure

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• Quasinormal Corrections to Near-Extremal Black Hole Thermodynamics
• Boundary correlators and the Schwarzian mode
• Quantum-Corrected Hawking Radiation from Near-Extremal Kerr-Newman Black Holes
• Logarithmic Corrections to Thermodynamics of Accelerating Black Holes
• Statistical Mechanics of Exponentially Many Low Lying States
• Classical Unattainability of Extremality in non-BPS D-brane Systems