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We calculate the entanglement entropy of a slab of finite width in the pureMaxwell theory. We find that a large part of entropy is contributed by theentanglement of a mode, nonlocal in terms of the transverse magnetic fielddegrees of freedom. Even though the entangled mode is nonlocal, itscontribution to the entropy is local in the sense that the entropy of a slab ofa finite thickness is equal to the entropy of the boundary plus a correctionexponential in thickness of the slab.

On Entanglement Entropy of Maxwell fields in 3+1 dimensions with a slab geometry