Numerical study of entanglement entropy in SU(2) lattice gauge theory

Details Numerical study of entanglement entropy in SU(2) lattice gauge theory Numerical study of entanglement entropy in SU(2) lattice gauge theory

2008-02-28

arxiv.org/abs/0802.4247v2

Nucl.Phys.B802:458-474,2008

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages RevTeX, 8 figures, 1 table. Major revision of the introductory section, several references added, some plots updated

Scientific paper

10.1016/j.nuclphysb.2008.04.024

The entropy of entanglement between a three-dimensional slab of thickness l and its complement is studied numerically for four-dimensional SU(2) lattice gauge theory. We find a signature of a nonanalytic behavior of the entanglement entropy, which was predicted recently for large N_c confining gauge theories in the framework of AdS/CFT correspondence. The derivative of the entanglement entropy over l is likely to have a discontinuity at some l = l_c. It is argued that such behavior persists even at finite temperatures, probably turning into a sort of crossover for temperatures larger than the temperature of the deconfinement phase transition. We also confirm that the entanglement entropy contains quadratically divergent l-independent term, and that the nondivergent terms behave as the inverse square of l at small distances.

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