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  Thermodynamical property of entanglement entropy and deconfinement phase transition

Fujita, M., He, S., & Sun, Y. (in preparation). Thermodynamical property of entanglement entropy and deconfinement phase transition.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0006-7017-2 Version Permalink: http://hdl.handle.net/21.11116/0000-0006-701E-B
Genre: Paper

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2005.01048.pdf (Preprint), 448KB
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2005.01048.pdf
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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: 2020-05-032020-05-16
 Publication Status: Not specified
 Pages: 25 pages, 5 figures; v2 minor changes, references added
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 2005.01048
URI: http://arxiv.org/abs/2005.01048
 Degree: -

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