Absence of bilinear condensate in three-dimensional QED

Abstract

There are plausibility arguments that QED in three dimensions has a critical number of flavors of massless two-component fermions, below which scale invariance is broken by the presence of bilinear condensate. We present numerical evidences from our lattice simulations using dynamical overlap as well as Wilson-Dirac fermions for the absence of bilinear condensate for any even number of flavors of two-component fermions. Instead, we find evidences for the scale-invariant nature of three-dimensional QED.

Comments: Presented at the 34th International Symposium on Lattice Field Theory, 24-30 July 2016, University of Southampton, UK