Critical properties of the Thirring model in 2+1 dimensions
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I will introduce the 2+1d Thirring model, a theory of relativistic interacting fermions, motivated by its
possible relevance to modelling the electronic structure of layered systems of graphene. At strong self-coupling the model exhibits spontaneous symmetry breaking via condensation of fermion - anti-fermion pairs, leading to a gapped phase, with a the potential for a UV renormalisation group fixed point defining a strongly-interacting continuum quantum field theory at the transition. Details are highly sensitive to the number of flavors N, and with no small dimensionless parameter in play a lattice approach is mandated. I will present results recently obtained using Wilson kernel domain wall fermions on lattices with wall separation up to 120. The observed critical indices characterising the transition are in qualitative agreement with those obtained by solution of truncated Schwinger Dyson equations some 30 years ago.