Self dual U(1) lattice field theory with a theta-term

          @misc{ scivideos_PIRSA:22050031,
            doi = {10.48660/22050031},
            url = {https://pirsa.org/22050031},
            author = {Gattringer, Christoff},
            keywords = {Quantum Matter},
            language = {en},
            title = {Self dual U(1) lattice field theory with a theta-term},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2022},
            month = {may},
            note = {PIRSA:22050031 see, \url{https://scivideos.org/index.php/pirsa/22050031}}
          }
          

Abstract

Starting from the Villain formulation with an additional constraint we construct a self-dual lattice version of U(1) field theory with a theta-term. An interesting feature is that the self-dual symmetry gives rise to an action that is local but not ultra-local, similar to lattice actions that implement chiral symmetry. We outline how electric and magnetic matter can be coupled in a self-dual way and discuss the emerging symmetry structure with the theta term. We present results from a Monte Carlo simulation of the self-dual system with electric and magnetic matter and explore spontaneous breaking of the self-dual symmetry.