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 N_f^c 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 N_f^c away from the isotropic point in agreement with other approaches. We discuss the relevance of our findings for models of high-T_c superconductors.

arXiv comment9 pages, 7 figures, v2: minor changes, typos corrected, version accepted by PRB

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Cited by in corpus (8)

• On the Phase Structure of Many-Flavor QED${}_3$
• Fermi velocity renormalization and dynamical gap generation in graphene
• Magnetic monopole plasma phase in (2+1)d compact quantum electrodynamics with fermionic matter
• Dyson-Schwinger approach to strongly coupled theories
• Off-shell Green functions at one-loop level in Maxwell-Chern-Simons quantum electrodynamics
• Critical scaling of finite temperature QED_3 in anisotropic space-time
• Effects of Anisotropy in (2+1)-dimensional QED
• Non-Perturbative Dynamics, Pair Condensation, Confinement and Dynamical Masses in Massless QED2+1