Nonperturbative beta function in three-dimensional electrodynamics

This is the authors' abstract. We don't add key points for this paper.

We apply the Schr\"odinger functional method to the Abelian gauge theory in three dimensions with Nf=2 four-component fermions. We find that the calculated beta function does not cross zero in the range of coupling we study. This implies that the theory exhibits confinement and mass generation, rather than a conformal infrared regime.