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Reentrant phase transitions of quantum black holes

Frassino, Antonia M., Pedraza, Juan F., Svesko, Andrew, Visser, Manus R.·2024·Physical Review D
DOI 10.1103/physrevd.109.124040
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Abstract

We show that backreaction of quantum fields on black hole geometries can trigger new thermal phase transitions. Specifically, we study the phase behavior of the three-dimensional quantum-corrected static Bañados-Teitelboim-Zanelli black hole, an exact solution to specific semiclassical gravitational equations due to quantum conformal matter, discovered through braneworld holography. Focusing on the canonical ensemble, for large backreaction, we find novel reentrant phase transitions as the temperature monotonically increases, namely, from thermal anti–de Sitter space to the black hole and back to thermal anti–de Sitter. The former phase transition is first-order, a quantum analog of the classical Hawking-Page phase transition, while the latter is zeroth order and has no classical counterpart. Published by the American Physical Society 2024

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FIG. 1 Temperature of qBTZ black hole at c 3 = 10 and various pressures (from bottom to top): G 3 3 P 3 = { 5 . 0 × 10 -7 (green) , 5 . 0 × 10 -6 (orange) , G 3 3 P crit ≈ 5 . 83 × 10 -5 (magenta) , 1 . 33 × 10 -4 (blue) , 1 . 61 × 10 -4 (red) , 1 . 81 × 10 -4 (black) } . The critical line inflection point is in purple.
FIG. 1 Temperature of qBTZ black hole at c 3 = 10 and various pressures (from bottom to top): G 3 3 P 3 = { 5 . 0 × 10 -7 (green) , 5 . 0 × 10 -6 (orange) , G 3 3 P crit ≈ 5 . 83 × 10 -5 (magenta) , 1 . 33 × 10 -4 (blue) , 1 . 61 × 10 -4 (red) , 1 . 81 × 10 -4 (black) } . The critical line inflection point is in purple.CC-BY · From the PDF
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FIG. 3 P 3 versus T phase diagram at fixed c 3 = 10. The dashed black line corresponds to ν → ∞ . The straight yellow and curved purple lines denote lines of first- and zerothorder phase transitions, respectively. In the region between the yellow and purple curves the qBTZ black hole is thermally favored; thermal AdS dominates the canonical ensemble outside this region. The (black) cusp where the yellow and purple lines meet corresponds to G 3 3 P 0 = 1 . 6135 × 10 -4 and G 3 T 0 = 0 . 0135. The isolated critical point lies at G 3 3 P crit ≈ 5 . 83 × 10 -5 and G 3 T crit ≈ 5 . 63 × 10 -3 (not shown).
FIG. 3 P 3 versus T phase diagram at fixed c 3 = 10. The dashed black line corresponds to ν → ∞ . The straight yellow and curved purple lines denote lines of first- and zerothorder phase transitions, respectively. In the region between the yellow and purple curves the qBTZ black hole is thermally favored; thermal AdS dominates the canonical ensemble outside this region. The (black) cusp where the yellow and purple lines meet corresponds to G 3 3 P 0 = 1 . 6135 × 10 -4 and G 3 T 0 = 0 . 0135. The isolated critical point lies at G 3 3 P crit ≈ 5 . 83 × 10 -5 and G 3 T crit ≈ 5 . 63 × 10 -3 (not shown).CC-BY · From the PDF
FIG. 4 Heat capacity at fixed pressure and central charge for select parameters in FIG. 1 (from left to right: 5 . 0 × 10 -6 (orange) , G 3 3 P crit ≈ 5 . 83 × 10 -5 (magenta) , 1 . 33 × 10 -4 (blue) , 1 . 81 × 10 -4 (black)).
FIG. 4 Heat capacity at fixed pressure and central charge for select parameters in FIG. 1 (from left to right: 5 . 0 × 10 -6 (orange) , G 3 3 P crit ≈ 5 . 83 × 10 -5 (magenta) , 1 . 33 × 10 -4 (blue) , 1 . 81 × 10 -4 (black)).CC-BY · From the PDF

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Metadata

Authors
Frassino, A. M., Pedraza, J. F., Svesko, A., & Visser, M. R.
Affiliations
  • University of Alcalá
  • Instituto de Física Teórica UAM/CSIC Calle Nicolás Cabrera 13-15
  • University College London
  • University of Cambridge
ORCID
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2024-06-14
Volume
109
Issue
12
ISSN
  • 2470-0010
  • 2470-0029
DOI
10.1103/physrevd.109.124040
Cited by
28
References
4
Language
en
Licence
creativecommons.org/licenses/by/4.0/ (vor)
Funders
  • Agència de Gestió d’Ajuts Universitaris i de Recerca (2017-SGR 754)
  • Agencia Estatal de Investigación (2020-T1/TIC-20495, CEX2020-001007-S, PID2021-123017NB-I00)
  • Ministerio de Ciencia e Innovación
  • Instituto de Ciencias del Cosmos, Universitat de Barcelona
  • European Regional Development Fund
  • Science and Technology Facilities Council (ST/X000753/1)
  • Simons Foundation
  • Engineering and Physical Sciences Research Council
  • Statens Naturvidenskabelige Forskningsrad (P500PT-206877)

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CoChat. (2026). Citation check: Reentrant phase transitions of quantum black holes. https://app.cochat.ai/papers/10.1103/physrevd.109.124040
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Frassino, A. M., Pedraza, J. F., Svesko, A., & Visser, M. R. (2024). Reentrant phase transitions of quantum black holes. Physical Review D. https://doi.org/10.1103/physrevd.109.124040