Entanglement entropy and thermal phase transitions from curvature singularities Article Swipe

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Sergio Barbosa , S. Fichet , Eugenio Megías , M. Quirós ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.1007/jhep04(2025)044

A bstract We study holographic entanglement entropy and revisit thermodynamics and confinement in the dilaton-gravity system. Our analysis focuses on a solvable class of backgrounds that includes AdS and linear dilaton spacetimes as particular cases, with some results extended to general warped metrics. A general lesson is that the behavior of the holographic theory is tied to the bulk curvature singularities. We find that a singular background is confining if and only if i) the singularity coincides with a boundary or ii) it is the linear dilaton. In the former case, for which the singularity cuts off spacetime, we demonstrate that both entanglement entropy and thermodynamics exhibit a first order phase transition. In the linear dilaton case we find instead that both entanglement entropy and thermal phase transitions are of second order. Additionally, along the process we thoroughly derive the radion effective action at quadratic order.

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Physics

Gravitational Singularity

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Physics Gravitational singularity Quantum entanglement Curvature Entropy (arrow of time) Phase transition Mathematical physics Thermal Theoretical physics Quantum mechanics Classical mechanics Quantum Geometry Thermodynamics Mathematics

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Type: article
Language: en
Landing Page: https://doi.org/10.1007/jhep04(2025)044
PDF: https://link.springer.com/content/pdf/10.1007/JHEP04(2025)044.pdf
OA Status: diamond
Cited By: 6
References: 138
Related Works: 10
OpenAlex ID: https://openalex.org/W4409326814

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DOI: https://doi.org/10.1007/jhep04(2025)044

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Title: Entanglement entropy and thermal phase transitions from curvature singularities

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Language: en

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Publication year: 2025

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Publication date: 2025-04-08

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Authors: Sergio Barbosa, S. Fichet, Eugenio Megías, M. Quirós

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Landing page: https://doi.org/10.1007/jhep04(2025)044

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Concepts: Physics, Gravitational singularity, Quantum entanglement, Curvature, Entropy (arrow of time), Phase transition, Mathematical physics, Thermal, Theoretical physics, Quantum mechanics, Classical mechanics, Quantum, Geometry, Thermodynamics, Mathematics

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Cited by: 6

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