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Black funnels and droplets in thermal equilibrium

Black funnels and droplets in thermal equilibrium
Black funnels and droplets in thermal equilibrium
It has recently been proposed that the strong coupling behaviour of quantum field theories on a non-dynamical black hole background can be described, in the context of the AdS/CFT correspondence, by a competition between two gravity duals: a black funnel and a black droplet. We present here thermal equilibrium solutions which represent such spacetimes, providing the first example where the thermal competition between the gravity duals can be studied. The solutions correspond to a special family of charged AdS C-metrics. We compute the corresponding Euclidean actions and find that the black funnel always dominates the canonical ensemble in our example, meaning that the field theory does not undergo a phase transition.
Caldarelli, Marco M.
873ef6f9-92c0-48f6-8362-6b1bee12d540
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Monteiro, Ricardo
1dfb2954-9861-425f-82c5-75185a088b60
Santos, Jorge E.
88cca86d-9e1e-40a7-acba-f7986bd7f84b
Caldarelli, Marco M.
873ef6f9-92c0-48f6-8362-6b1bee12d540
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Monteiro, Ricardo
1dfb2954-9861-425f-82c5-75185a088b60
Santos, Jorge E.
88cca86d-9e1e-40a7-acba-f7986bd7f84b

Caldarelli, Marco M., Dias, Oscar J.C., Monteiro, Ricardo and Santos, Jorge E. (2011) Black funnels and droplets in thermal equilibrium. JHEP. (doi:10.1007/JHEP05(2011)116).

Record type: Article

Abstract

It has recently been proposed that the strong coupling behaviour of quantum field theories on a non-dynamical black hole background can be described, in the context of the AdS/CFT correspondence, by a competition between two gravity duals: a black funnel and a black droplet. We present here thermal equilibrium solutions which represent such spacetimes, providing the first example where the thermal competition between the gravity duals can be studied. The solutions correspond to a special family of charged AdS C-metrics. We compute the corresponding Euclidean actions and find that the black funnel always dominates the canonical ensemble in our example, meaning that the field theory does not undergo a phase transition.

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More information

Accepted/In Press date: 6 May 2011
Published date: 26 May 2011

Identifiers

Local EPrints ID: 467515
URI: http://eprints.soton.ac.uk/id/eprint/467515
PURE UUID: 0adb6019-7734-4f59-b6e2-f79fe341bfe6
ORCID for Oscar J.C. Dias: ORCID iD orcid.org/0000-0003-4855-4750

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Date deposited: 12 Jul 2022 16:34
Last modified: 13 Jul 2022 01:46

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Contributors

Author: Marco M. Caldarelli
Author: Oscar J.C. Dias ORCID iD
Author: Ricardo Monteiro
Author: Jorge E. Santos

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