Effects of Anisotropy in QED3 from Dyson-Schwinger equations in a box
Abstract
We investigate the effect of anisotropies in the fermion velocities of 2+1 dimensional QED on the critical number Nfc of fermions for dynamical mass generation. Our framework are the Dyson-Schwinger equations for the gauge boson and fermion propagators formulated in a finite volume. In contrast to previous Dyson-Schwinger studies we do not rely on an expansion in small anisotropies but keep the full velocity dependence of fermion equations intact. As result we find sizable variations of Nfc away from the isotropic point in agreement with other approaches. We discuss the relevance of our findings for models of high-Tc superconductors.
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