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Quantum entanglement in SU(3) lattice Yang-Mills theory at zero and finite temperatures

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arxiv 1104.1011 v1 pith:7MCYYX5J submitted 2011-04-06 hep-lat hep-ph

Quantum entanglement in SU(3) lattice Yang-Mills theory at zero and finite temperatures

Y. Nakagawa (Niigata U. , Grad. Sch. Sci. Tech.) , A. Nakamura (Hiroshima U. , RIISE) , S. Motoki (Hiroshima U.) , V.I. Zakharov (Moscow , ITEP & Munich , Max Planck Inst.) This is my paper
classification hep-lat hep-ph
keywords alphaentropyentanglementdeconfinementphasetheoryyang-millsconfinement
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We examine the entanglement properties of the Yang-Mills theory by calculating $\alpha$ entanglement entropy with $\alpha=2$ using a SU(3) quenched lattice gauge simulation both in the confinement and the deconfinement phases. In the confinement phase, the derivative of the $\alpha$ entropy with respect to the size $l$ of the subregion, whose entanglement properties are interested in, scales as $1/l^3$, and a clear discontinuity cannot be found within our statistical errors. The $\alpha$ entropy in the deconfinement phase saturates at large $l$. The saturation value is comparable with the thermal entropy of the pure Yang-Mills theory, indicating that the $\alpha$ entropy obeys the volume law at large $l$ in the deconfinement phase.

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