2022/10/20 by A. Banerjee, D. Banerjee, Debasish Banerjee +11
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Theoretical and Computational Physics #hep-lat
paper · pdf · doi:10.48550/arxiv.2210.11154
Proceedings for the 39th International Symposium on Lattice Field Theory, LATTICE2022
openalex publication_date 2022/10/20 · arxiv created 2022/11/25 · arxiv updated 2022/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A generalization of Wilsonian lattice gauge theory may be obtained by considering the possible self-adjoint extensions of the electric field operator in the Hamiltonian formalism. In the special case of 3D U(1) gauge theory these are parametrised by a phase θ, and the ordinary Wilson theory is recovered for θ=0. We consider the case θ=π, which, upon dualization, turns into a theory of staggered integer and half-integer height variables. We investigate order parameters for the breaking of the relevant symmetries, and thus study the phase diagram of the theory, which shows evidence of a broken ℤ2 symmetry in the continuum limit, in contrast to the ordinary theory.