Dynamical Symmetry Breaking in QED3 from the Wilson RG Point of View

Abstract

Dynamical symmetry breaking in three dimensional QED with $N$ flavors, which\nhas been mostly analyzed by solving the Schwinger-Dyson equations, is\ninvestigated by means of the approximated Wilson, or non-perturbative,\nrenormalization group (RG). We study the RG flows of the gauge coupling and the\ngeneral four-fermi couplings allowed by the symmetry with concentrating our\ninterest on study of the phase structure. The RG equations have no gauge\nparameter dependence in our approximation scheme. It is found that there exist\nchirally broken and unbroken phases for $N > N_{\\rm cr}$ ($3 < N_{\\rm cr} < 4$)\nand that the unbroken phase disappears for $N < N_{\\rm cr}$. We also discuss\nthe spontaneous parity breaking in three dimensional QED with the four-fermi\ninteractions.\n