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Numerical determination of entanglement entropy for a sphere

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arxiv 0911.4283 v1 pith:MIRPR4EQ submitted 2009-11-23 hep-lat hep-thmath-phmath.MP

Numerical determination of entanglement entropy for a sphere

R. Lohmayer (Regensburg) , H. Neuberger (Rutgers) , A. Schwimmer (Weizmann) , S. Theisen (MPI , AEI) This is my paper
classification hep-lat hep-thmath-phmath.MP
keywords entanglemententropysphereaccuracyagreementanalyticalapplycoefficient
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We apply Srednicki's regularization to extract the logarithmic term in the entanglement entropy produced by tracing out a real, massless, scalar field inside a three dimensional sphere in 3+1 flat spacetime. We find numerically that the coefficient of the logarithm is -1/90 to 0.2 percent accuracy, in agreement with an existing analytical result.

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