Revisiting leading quantum corrections to near extremal black hole thermodynamics

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.

Automated summary

Computing the 4D Euclidean path integral to one-loop order, we study the large quantum corrections that dominate the behavior of a spherically symmetric non-supersymmetric near-extremal black hole at very low temperature. These corrections arise from the near-horizon geometry of the near-extremal black hole and can be obtained using first-order perturbation theory and the zero modes of the extremal background. The resulting terms in the logarithm of the partition function correspond to logarithmic terms involving temperature, which match partly with the existing results derived from an effective Schwarzian theory in literature.