The underlying black hole phase transitions in an Einstein-Maxwell-dilaton model with a holographic critical point

Abstract The Einstein-Maxwell-dilaton model exhibits a first-order phase transition curve that terminates at a holographic critical endpoint, offering intriguing insights into the phase diagram of the dual system living on the boundary. However, the specific instability within the underlying spaceti...

Full description

Saved in:
Bibliographic Details
Main Authors: Hong Guo, Xiao-Mei Kuang, Wei-Liang Qian
Format: Article
Language:English
Published: SpringerOpen 2025-06-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP06(2025)142
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849238036725891072
author Hong Guo
Xiao-Mei Kuang
Wei-Liang Qian
author_facet Hong Guo
Xiao-Mei Kuang
Wei-Liang Qian
author_sort Hong Guo
collection DOAJ
description Abstract The Einstein-Maxwell-dilaton model exhibits a first-order phase transition curve that terminates at a holographic critical endpoint, offering intriguing insights into the phase diagram of the dual system living on the boundary. However, the specific instability within the underlying spacetime that triggers the formation of the hairy black hole remains somewhat obscure. This raises the question of whether one of the hairy black hole phases represents a superconducting or scalarized state and how the two distinct phases merge into a indistinguishable one at the critical point. This work investigates the associated black hole phase transition and the underlying instabilities by exploring a specific Einstein-Maxwell-dilaton model. The approach aims to provide transparent insights into the black hole phase transitions in the bulk. By introducing a nonminimal coupling between a massive real scalar field and a Maxwell field in a five-dimensional anti-de Sitter spacetime, we identify two types of scalarization corresponding to tachyonic instabilities in the ultraviolet and infrared regions. These distinct instabilities lead to a first-order phase transition between two phases in the μ – T phase diagram. Furthermore, this first-order transition terminates at a critical point, beyond which the curve turns back, and the transition becomes a numerically elusive third-order one. Although one does not encounter a critical endpoint, the model still offers a consistent interpretation for the observed cross-over in the low baryon density region. We analyze the thermodynamic properties of the scalarized hairy black holes and discuss the implications of our findings.
format Article
id doaj-art-f26c7bb5afc04bfba91b09878b3bbd83
institution Kabale University
issn 1029-8479
language English
publishDate 2025-06-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj-art-f26c7bb5afc04bfba91b09878b3bbd832025-08-20T04:01:47ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025612410.1007/JHEP06(2025)142The underlying black hole phase transitions in an Einstein-Maxwell-dilaton model with a holographic critical pointHong Guo0Xiao-Mei Kuang1Wei-Liang Qian2Escola de Engenharia de Lorena, Universidade de São PauloCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityEscola de Engenharia de Lorena, Universidade de São PauloAbstract The Einstein-Maxwell-dilaton model exhibits a first-order phase transition curve that terminates at a holographic critical endpoint, offering intriguing insights into the phase diagram of the dual system living on the boundary. However, the specific instability within the underlying spacetime that triggers the formation of the hairy black hole remains somewhat obscure. This raises the question of whether one of the hairy black hole phases represents a superconducting or scalarized state and how the two distinct phases merge into a indistinguishable one at the critical point. This work investigates the associated black hole phase transition and the underlying instabilities by exploring a specific Einstein-Maxwell-dilaton model. The approach aims to provide transparent insights into the black hole phase transitions in the bulk. By introducing a nonminimal coupling between a massive real scalar field and a Maxwell field in a five-dimensional anti-de Sitter spacetime, we identify two types of scalarization corresponding to tachyonic instabilities in the ultraviolet and infrared regions. These distinct instabilities lead to a first-order phase transition between two phases in the μ – T phase diagram. Furthermore, this first-order transition terminates at a critical point, beyond which the curve turns back, and the transition becomes a numerically elusive third-order one. Although one does not encounter a critical endpoint, the model still offers a consistent interpretation for the observed cross-over in the low baryon density region. We analyze the thermodynamic properties of the scalarized hairy black holes and discuss the implications of our findings.https://doi.org/10.1007/JHEP06(2025)142AdS-CFT CorrespondenceEffective Field Theories of QCDPhase Diagram or Equation of State
spellingShingle Hong Guo
Xiao-Mei Kuang
Wei-Liang Qian
The underlying black hole phase transitions in an Einstein-Maxwell-dilaton model with a holographic critical point
Journal of High Energy Physics
AdS-CFT Correspondence
Effective Field Theories of QCD
Phase Diagram or Equation of State
title The underlying black hole phase transitions in an Einstein-Maxwell-dilaton model with a holographic critical point
title_full The underlying black hole phase transitions in an Einstein-Maxwell-dilaton model with a holographic critical point
title_fullStr The underlying black hole phase transitions in an Einstein-Maxwell-dilaton model with a holographic critical point
title_full_unstemmed The underlying black hole phase transitions in an Einstein-Maxwell-dilaton model with a holographic critical point
title_short The underlying black hole phase transitions in an Einstein-Maxwell-dilaton model with a holographic critical point
title_sort underlying black hole phase transitions in an einstein maxwell dilaton model with a holographic critical point
topic AdS-CFT Correspondence
Effective Field Theories of QCD
Phase Diagram or Equation of State
url https://doi.org/10.1007/JHEP06(2025)142
work_keys_str_mv AT hongguo theunderlyingblackholephasetransitionsinaneinsteinmaxwelldilatonmodelwithaholographiccriticalpoint
AT xiaomeikuang theunderlyingblackholephasetransitionsinaneinsteinmaxwelldilatonmodelwithaholographiccriticalpoint
AT weiliangqian theunderlyingblackholephasetransitionsinaneinsteinmaxwelldilatonmodelwithaholographiccriticalpoint
AT hongguo underlyingblackholephasetransitionsinaneinsteinmaxwelldilatonmodelwithaholographiccriticalpoint
AT xiaomeikuang underlyingblackholephasetransitionsinaneinsteinmaxwelldilatonmodelwithaholographiccriticalpoint
AT weiliangqian underlyingblackholephasetransitionsinaneinsteinmaxwelldilatonmodelwithaholographiccriticalpoint