Lattice higher gauge theories are rewritten as Landau field theories on closed surfaces, yielding a unified phase description and an infrared duality between higher-form Landau theories.
Direct Monte Carlo Measurement of the Surface Tension in Ising Models
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I present a cluster Monte Carlo algorithm that gives direct access to the interface free energy of Ising models. The basic idea is to simulate an ensemble that consists of both configurations with periodic and with antiperiodic boundary conditions. A cluster algorithm is provided that efficently updates this joint ensemble. The interface tension is obtained from the ratio of configurations with periodic and antiperiodic boundary conditions, respectively. The method is tested for the 3-dimensional Ising model.
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Landau theory for lattice higher gauge theory and Kramers-Wannier duality
Lattice higher gauge theories are rewritten as Landau field theories on closed surfaces, yielding a unified phase description and an infrared duality between higher-form Landau theories.