Gauge theories with non-trivial boundary conditions: Black holes
arXiv:2302.03847 · doi:10.1103/PhysRevD.107.125022
Abstract
We study the partition function and entropy of U(1) gauge theories with multiple boundaries on the black holes background. The nontrivial boundary conditions allow residual zero longitudinal momentum modes and Wilson lines stretched between boundaries. Topological modes of the Wilson lines and other modes are also analyzed in this paper. We study the behavior of the partition function of the theory in different temperature limits, and find the transitions of dominances of different modes as we vary the temperature. Moreover, we find two different area contributions plus logarithm corrections in the entropy. One being part of the bulk fluctuation modes can be seen for finite-temperature black holes, and the other coming from vacuum degeneracy can only be seen in the superlow temperature limit. We have confirmed the mechanism and entropy found in the superlow temperature limit also persist for extremal black holes. The gauge fluctuation on the black hole background might help us understand some fundamental aspects of quantum gravity related to gauge symmetries.
43 pages, 4 figures, matches the published version in PRD
References in corpus (12)
- The entropy of Hawking radiation
- The statistical mechanics of near-extremal black holes
- Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
- Black hole entropy as entanglement entropy: a holographic derivation
- No Dynamics in the Extremal Kerr Throat
- Kerr-CFT and gravitational perturbations
- Counting black hole microscopic states in loop quantum gravity
- Near-Horizon BMS Symmetry, Dimensional Reduction, and Black Hole Entropy
- Soft black hole information paradox: Page curve from Maxwell soft hair of a black hole
- Soft theorems in curved spacetime
- Soft gluon theorems in curved spacetime
- Gravitons in a Casimir box