Quantum Criticality in the 2+1d Thirring Model

          @misc{ pirsa_PIRSA:22050063,
            doi = {10.48660/22050063},
            url = {https://pirsa.org/22050063},
            author = {Hands, Simon},
            keywords = {Condensed Matter},
            language = {en},
            title = {Quantum Criticality in the 2+1d Thirring Model},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {may},
            note = {PIRSA:22050063 see, \url{https://pirsa.org}}
          }
          

Abstract

The Thirring Model is a covariant quantum field theory of interacting fermions, sharing many features in common with effective theories of two-dimensional electronic systems with linear dispersion such as graphene. For a small number of flavors and sufficiently strong interactions the ground state may be disrupted by condensation of particle- hole pairs leading to a quantum critical point. With no small dimensionless parameters in play in this regime the Thirring model is plausibly the simplest theory of fermions requiring a numerical solution. I will review what is currently known focussing on recent results and challenges from simulations employing Domain Wall Fermions, a formulation drawn from state-of-the-art lattice QCD, to faithfully capture the underlying symmetries at the critical point.