Line defects in the 3d Ising model

Abstract

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.

20 pages, 9 figures, Latex2e

References in corpus (6)

• Solving the 3D Ising Model with the Conformal Bootstrap
• The Bootstrap Program for Boundary CFT_d
• A Finite Size Scaling Study of Lattice Models in the three-dimensional Ising Universality Class
• 25th-order high-temperature expansion results for three-dimensional Ising-like systems on the simple cubic lattice
• Bootstrapping Conformal Field Theories with the Extremal Functional Method
• Is boundary conformal in CFT?

Cited by in corpus (2)

• Corrections to finite-size scaling in the 3D Ising model based on non-perturbative approaches and Monte Carlo simulations
• Critical two-point correlation functions and "equation of motion" in the phi^4 model