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Absence of bilinear condensate in three-dimensional QED

N. Karthik, R. Narayanan

in 34th annual International Symposium on Lattice Field Theory

Contribution: pdf


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.