A c-theorem for the entanglement entropy

Details A c-theorem for the entanglement entropy A c-theorem for the entanglement entropy

2006-10-13

arxiv.org/abs/cond-mat/0610375v2

J.Phys.A40:7031-7036,2007

Physics

Condensed Matter

Statistical Mechanics

6 pages, 2 figures. Talk given at the conference IRGAC 2006: 2nd. Intern. Conf. on Quantum Theories and Renormalization Group

Scientific paper

10.1088/1751-8113/40/25/S57

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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