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  Thermodynamical property of entanglement entropy and deconfinement phase transition

Fujita, M., He, S., & Sun, Y. (2020). Thermodynamical property of entanglement entropy and deconfinement phase transition. Physical Review D, 102: 126019. doi:10.1103/PhysRevD.102.126019.

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 Creators:
Fujita, Mitsutoshi, Author
He, Song1, Author           
Sun, Yuan, Author
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_102878              

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Free keywords: High Energy Physics - Theory, hep-th,High Energy Physics - Lattice, hep-lat
 Abstract: We analyze the holographic entanglement entropy in a soliton background with
Wilson lines and derive a relation analogous to the first law of
thermodynamics. The confinement/deconfinement phase transition occurs due to
the competition of two minimal surfaces. The entropic c function probes the
confinement/deconfinement phase transition. It is sensitive to the degrees of
freedom (DOF) smaller than the size of a spatial circle. When the Wilson line
becomes large, the entropic c function becomes non-monotonic as a function of
the size and does not satisfy the usual c-theorem. We analyze the entanglement
entropy for a small subregion and the relation analogous to the first law of
thermodynamics. For the small amount of Wilson lines, the excited amount of the
entanglement entropy decreases from the ground state. It reflects that
confinement decreases degrees of freedom. We finally discuss the second order
correction of the holographic entanglement entropy.

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 Dates: 2020-05-032020-05-162020-12-15
 Publication Status: Issued
 Pages: 25 pages, 5 figures; v2 minor changes, references added
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 Table of Contents: -
 Rev. Type: -
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 102 Sequence Number: 126019 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: https://pure.mpg.de/cone/journals/resource/111088197762258