1201.4865 (Noburo Shiba)
Noburo Shiba
We study the entanglement entropy S_{AB} of a massless free scalar field on
two spheres A and B whose radii are R_1 and R_2, respectively, and the distance
between them is r. The state of the massless free scalar field is the vacuum
state. We obtain the result that the mutual information S_{A;B}:=S_A+S_B-S_{AB}
is independent of the ultraviolet cutoff and proportional to the product of the
areas of the two spheres when r>>R_1,R_2, where S_A and S_B are the
entanglement entropy on the inside region of A and B, respectively. We discuss
possible connections of this result with the physics of black holes.
View original:
http://arxiv.org/abs/1201.4865
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