Entanglement entropy of SU(3) Yang-Mills theory

Understand

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.