Chiral and deconfinement phase transitions in QED{sub 3} with finite gauge boson mass
Based on the experimental observation that there is a coexisting region between the antiferromagnetic (AF) and d-wave superconducting (dSC) phases, the influences of gauge boson mass m{sub a} on chiral symmetry restoration and deconfinement phase transitions in QED{sub 3} are investigated simultaneously within a unified framework, i.e., Dyson–Schwinger equations. The results show that the chiral symmetry restoration phase transition in the presence of the gauge boson mass m{sub a} is a typical second-order phase transition; the chiral symmetry restoration and deconfinement phase transitions are coincident; the critical number of fermion flavors N{sup c}{sub f} decreases as the gauge boson mass m{sub a} increases, which implies that there exists a boundary that separates the N{sup c}{sub f}–m{sub a} plane into chiral symmetry breaking/confinement region for (N{sup c}{sub f}, m{sub a}) below the boundary and chiral symmetry restoration/deconfinement region for (N{sup c}{sub f}, m{sub a}) above it.