The statistical mechanics of near-extremal black holes
By Luca V. Iliesiu, G. Turiaci. Journal of High Energy Physics, 2020
178 citations recorded by the source corpus.
An important open question in black hole thermodynamics is about the existence of a “mass gap” between an extremal black hole and the lightest near-extremal state within a sector of fixed charge. In this paper, we reliably compute the partition function of Reissner-Nordström near-extremal black holes at temperature scales comparable to the conjectured gap. We find that the density of states at fixed charge does not exhibit a gap; rather, at the expected gap energy scale, we see a continuum of states. We compute the partition function in the canonical and grand canonical ensembles, keeping track of all the fields appearing through a dimensional reduction on S2 in the near-horizon region. Our calculation shows that the relevant degrees of freedom at low temperatures are those of 2d Jackiw-Teitelboim gravity coupled to the electromagnetic U(1) gauge field and to an SO(3) gauge field generated by the dimensional reduction.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/98aaf6d7b2ce8ca599bd246c5b5a779f76c42adc
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Citations in the corpus
- The statistical mechanics of near-BPS black holes (2020, methodology): “With this new perspective, the authors of [7] addressed the puzzling questions about Integrating out the massive KK modes and other fields have the only possible effect of introducing temperature-independent logarithmic corrections to S0 previously computed in [33–36, 7] and thus such modes will not”
- Two dimensional nearly de Sitter gravity (2019, unknown): “4 of [61]) gives |Ψs(λ)| = e2Se−2C2/λ 2 λ−3 (for λ & R dS/GN ) and |Ψs(λ)| 2 = e2Se−2C2/λ 2 λ−6 (for λ .”
- The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral (2020, background): “In the large spin limit, the transverse circle direction is very large so these modes are not heavy (though their interactions are suppressed [26], see also [55]), and they should be included.”