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arXiv · 0911.2596

Entanglement entropy of SU(3) Yang-Mills theory

Y. Nakagawa·A. Nakamura·S. Motoki·V. I. Zakharov
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Abstract

We calculate the entanglement entropy using a SU(3) quenched lattice gauge simulation. We find that the entanglement entropy scales as $1/l^2$ at small $l$ as in the conformal field theory. Here $l$ is the size of the system, whose degrees of freedom is left after the other part are traced out. The derivative of the entanglement entropy with respect to $l$ hits zero at about $l^{\ast} = 0.6 \sim 0.7$ [fm] and vanishes above the length. It may imply that the Yang-Mills theory has the mass gap of the order of $1/l^{\ast}$. Within our statistical errors, no discontinuous change can be seen in the entanglement entropy. We discuss also a subtle point appearing in gauge systems when we divide a system with cuts.

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Y. Nakagawa, A. Nakamura, S. Motoki, V. I. Zakharov. 2009-11-13. Entanglement entropy of SU(3) Yang-Mills theory. https://arxiv.org/abs/0911.2596

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