Holographic entanglement of purification near a critical point

In the presence of finite chemical potential μ , we holographically compute the entanglement of purification in a 2 + 1 - and 3 + 1 -dimensional field theory and also in a 3 + 1 -dimensional field theory with a critical point, at which a phase transition takes place. We observe that compared to 2 +...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2020-12, Vol.80 (12), p.1-10, Article 1152
Main Authors: Amrahi, B., Ali-Akbari, M., Asadi, M.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Chemical potential
Critical point
Elementary Particles
Entanglement
Field theory
Hadrons
Heavy Ions
Holography
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Phase transitions
Physics
Physics and Astronomy
Purification
Quantum Field Theories
Quantum Field Theory
Regular Article – Theoretical Physics
String Theory
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Summary:In the presence of finite chemical potential μ , we holographically compute the entanglement of purification in a 2 + 1 - and 3 + 1 -dimensional field theory and also in a 3 + 1 -dimensional field theory with a critical point, at which a phase transition takes place. We observe that compared to 2 + 1 - and 3 + 1 -dimensional field theories, the behavior of entanglement of purification near critical point is different and it is not a monotonic function of μ T where T is the temperature of the field theory. Therefore, the entanglement of purification distinguishes the critical point in the field theory. We also discuss the dependence of the holographic entanglement of purification on the various parameters of the theories. Moreover, the critical exponent is calculated.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-020-08647-8