PIRSA:22050031

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

APA

Gattringer, C. (2022). Self dual U(1) lattice field theory with a theta-term. Perimeter Institute. https://pirsa.org/22050031

MLA

Gattringer, Christoff. Self dual U(1) lattice field theory with a theta-term. Perimeter Institute, May. 16, 2022, https://pirsa.org/22050031

BibTex

          @misc{ pirsa_22050031,
            doi = {10.48660/22050031},
            url = {https://pirsa.org/22050031},
            author = {Gattringer, Christoff},
            keywords = {Condensed Matter},
            language = {en},
            title = {Self dual U(1) lattice field theory with a theta-term},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {may},
            note = {PIRSA:22050031 see, \url{https://pirsa.org}}
          }
          

Christoff Gatringer Austrian Science Fund FWF

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.