DOAJ Open Access 2025

Entanglement entropy and thermal phase transitions from curvature singularities

Sergio Barbosa Sylvain Fichet Eugenio Megías Mariano Quirós

Abstrak

Abstract 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.

Penulis (4)

S

Sergio Barbosa

S

Sylvain Fichet

E

Eugenio Megías

M

Mariano Quirós

Format Sitasi

Barbosa, S., Fichet, S., Megías, E., Quirós, M. (2025). Entanglement entropy and thermal phase transitions from curvature singularities. https://doi.org/10.1007/JHEP04(2025)044

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Informasi Jurnal
Tahun Terbit
2025
Sumber Database
DOAJ
DOI
10.1007/JHEP04(2025)044
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Open Access ✓