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A c-theorem for the entanglement entropy

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arxiv cond-mat/0610375 v2 pith:Y35CETLA submitted 2006-10-13 cond-mat.stat-mech hep-th

A c-theorem for the entanglement entropy

classification cond-mat.stat-mech hep-th
keywords c-theorementropydimensionsentanglementassociatedc-functionscasecombination
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The combination of the Lorentz symmetry and the strong subadditive property of the entropy leads to a c-theorem for the entanglement entropy in 1+1 dimensions. We present a simple derivation of this theorem and compare the associated c-functions with the Zamolodchikov's ones for the case of free fields. We discuss the various difficulties which obstacle the naive generalizations of the entropic c-theorem to higher dimensions.

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Cited by 5 Pith papers

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    Long-range φ⁴ theories have RG beta functions that satisfy a gradient flow with A matching the sphere free energy F̃ at leading nontrivial order.

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