Chiral symmetry-breaking and scaling properties of (2 + 1)-dimensional QED with four-fermion interactions
Sin Kyu Kang, Jae Kwan Kim · Canadian Journal of Physics · 1993
We study the chiral symmetry-breaking (2 + 1)-dimensional quantum electrodynamics with four-fermion interactions. Solving the Dyson–Schwinger equation with a boundary condition identical to an equation of state, we determine the phase diagram of this model and obtain a large anomalous dimension of the operator [Formula: see text]. By substituting a. symmetry-breaking solution in the equation of state, we find the critical exponents and show that they satisfy the hyperscaling laws. Some comments are given on the equation of hierarchy between the chiral symmetry-breaking scale and the fundamental scale in our model.