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arxiv: 1304.4110 · v1 · submitted 2013-04-15 · ✦ hep-th · cond-mat.stat-mech· hep-lat

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Line defects in the 3d Ising model

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classification ✦ hep-th cond-mat.stat-mechhep-lat
keywords defectlinemodeltwistisinglocaloperatorsanomalous
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We investigate the properties of the twist line defect in the critical 3d Ising model using Monte Carlo simulations. In this model the twist line defect is the boundary of a surface of frustrated links or, in a dual description, the Wilson line of the Z2 gauge theory. We test the hypothesis that the twist line defect flows to a conformal line defect at criticality and evaluate numerically the low-lying spectrum of anomalous dimensions of the local operators which live on the defect as well as mixed correlation functions of local operators in the bulk and on the defect.

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