Expectation values of local operators in phi^4 theory with a magnetic line defect are computed non-perturbatively using relativistic continuous matrix product states, by rotating Euclidean time so the defect becomes an extended operator in the bulk vacuum.
Magnetic defect line in a critical Ising bath
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We compute the critical exponents associated with a magnetic line defect in the critical 3D Ising model. From the result, we deduce the anomalous dimension of the fermion operator in the z = 1 scaling regime of a Fermi surface coupled to a O(1) Wilson-Fisher fixed point. We introduce a generalization of the Wolff cluster algorithm to O(N) spin systems with a background magnetic field.
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A relativistic continuous matrix product state study of field theories with defects
Expectation values of local operators in phi^4 theory with a magnetic line defect are computed non-perturbatively using relativistic continuous matrix product states, by rotating Euclidean time so the defect becomes an extended operator in the bulk vacuum.