Quark-Antiquark Potential as a Probe for Holographic Phase Transitions

Fuente: arXiv
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Autores principales: Anabalón, Andrés, Chernicoff, Mariano, Giribet, Gaston, Oliva, Julio, Reyes, Martín
Formato: Preprint
Publicado: 2025
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author Anabalón, Andrés
Chernicoff, Mariano
Giribet, Gaston
Oliva, Julio
Reyes, Martín
author_facet Anabalón, Andrés
Chernicoff, Mariano
Giribet, Gaston
Oliva, Julio
Reyes, Martín
contents In the recent paper (Phys.Rev.Lett. 133 (2024) 12, 121601), a higher-order phase transition between the planar, charged, 5-dimensional Reissner-Nordström-Anti-de Sitter black hole and a hairy black hole solution of the type IIB supergravity was investigated. Here, following a bottom-up approach, we set out to investigate these two phases of the theory by means of the holographic probe that describes a quark-antiquark in the dual gauge theory. We ask ourselves whether studying the quark-antiquark potential suffices to detect the change of behavior at different values of the parameter that controls the phase transition, this parameter being the ratio between the chemical potential and the temperature. We show that, while evaluating the probe on both phases leads to the same value at the point where the transition takes place, there is always one phase that dominates over the other with regard to this observable. The same can be said about higher-dimensional probes such as those involved in the computation of holographic entanglement entropy.
format Preprint
id arxiv_https___arxiv_org_abs_2501_15533
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quark-Antiquark Potential as a Probe for Holographic Phase Transitions
Anabalón, Andrés
Chernicoff, Mariano
Giribet, Gaston
Oliva, Julio
Reyes, Martín
High Energy Physics - Theory
General Relativity and Quantum Cosmology
In the recent paper (Phys.Rev.Lett. 133 (2024) 12, 121601), a higher-order phase transition between the planar, charged, 5-dimensional Reissner-Nordström-Anti-de Sitter black hole and a hairy black hole solution of the type IIB supergravity was investigated. Here, following a bottom-up approach, we set out to investigate these two phases of the theory by means of the holographic probe that describes a quark-antiquark in the dual gauge theory. We ask ourselves whether studying the quark-antiquark potential suffices to detect the change of behavior at different values of the parameter that controls the phase transition, this parameter being the ratio between the chemical potential and the temperature. We show that, while evaluating the probe on both phases leads to the same value at the point where the transition takes place, there is always one phase that dominates over the other with regard to this observable. The same can be said about higher-dimensional probes such as those involved in the computation of holographic entanglement entropy.
title Quark-Antiquark Potential as a Probe for Holographic Phase Transitions
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2501.15533