  Based on the experimental observation that there is a coexisting region
between the antiferromagnetic (AF) and $\textit{d}$-wave superconducting
($\textit{d}$SC) phases, the influences of gauge boson mass $m_{a}$ on chiral
symmetry restoration and deconfinement phase transitions in QED$_{3}$ 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 $m_{a}$ is a typical
second-order phase transition; the chiral symmetry restoration and
deconfinement phase transitions are coincident; the critical number of fermion
flavors $N^{c}_{f}$ decreases as the gauge boson mass $m_{a}$ increases and
there exists a boundary that separates the $N^{c}_{f}$-$m_{a}$ plane into
chiral symmetry breaking/confinement region for ($N_{f}^{c}$, $m_{a}$) below
the boundary and chiral symmetry restoration/deconfinement region for
($N_{f}^{c}$, $m_{a}$) above it.
