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Chemical potential and charge in quantum black holes
Abstract
A bstract: We study systems in 2 + 1 dimensions consisting of defects that source an electric charge, or a magnetic flux, of a U(1) field, and we use holography to compute their effects on quantum conformal fields. We can also hide the defects inside the horizon of a black hole, where they continue to affect the quantum fields outside. By extending the solutions to braneworld holography, we find the non-linear backreaction of the quantum fields on the defect and black hole backgrounds. This gives quantum charged point particles and black holes. The charged quantum black holes markedly differ from classically charged BTZ black holes, since the quantum-induced electromagnetic field in 2 + 1 dimensions has a better asymptotic behavior than its classical counterpart. The construction also gives a new class of (near-)extremal charged quantum black holes with AdS 2 throats.
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“As reported in[98], for a d + 1-dimensional bulk, when d < 2p there are no divergences while a logarithmic divergence appears for d = 2p and there will be divergences for d > 2p.”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [98]
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“Further, for d = 2p + 2n with n ∈ Z + , derivatives of Fp and its coupling to curvature appear in the conformal anomaly such that counterterms are needed for d > 2p + 2n.”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [98]
In the citing paper
“The first contribution is a boundary term with respect to the bulk Maxwell term necessary to keep the Dirichlet variational problem well-posed.The second contribution describes local counterterms associated with the four-dimensional bulk Maxwell action that are included in holographic renormalization 28 [98]”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [98]
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On the dynamics of near-extremal black holes
Nayak, P., Shukla, A., Soni, R. M., Trivedi, S. P., & Vishal, V. (2018) · Journal of High Energy Physics · doi:10.1007/jhep09(2018)048 · Cited by 206
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Cited by
Sorted by citations
Three-Dimensional Quantum Black Holes: A Primer
Panella, E., Pedraza, J. F., & Svesko, A. (2024) · Universe · doi:10.3390/universe10090358 · Cited by 24
Metadata
- Authors
- Climent, A., Emparan, R., & Hennigar, R. A.
- Affiliations
- Universitat de Barcelona
- Venue
- Journal of High Energy Physics
- Published
- 2024-08-20
- Volume
- 2024
- Issue
- 8
- ISSN
- 1029-8479
- Cited by
- 18
- References
- 1
- Language
- en
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