Critical Behavior of Dynamical Chiral Symmetry Breaking with Gauge Boson Mass in QED₃

Since the massless quantum electrodynamics in 2+1 dimensions (QED₃) with nonzero gauge boson mass ζ can be used to explain some important traits of high-T_c superconductivity in planar cuprates, it is worthwhile to apply this model to analyze the nature of chiral phase transition at the critical value ζ_c. Based on the feature of chiral susceptibility, we show that the system at ζ_c exhibits a second-order phase transition which accords with the nature of appearance of the high-T_c superconductivity, and the estimated critical exponents around ζ_c are illustrated.