  We illustrate some physical application of a lattice formulation of the
two-dimensional $\mathcal{N}=(2,2)$ supersymmetric SU(2) Yang-Mills theory with
a (small) supersymmetry breaking scalar mass. Two aspects, power-like behavior
of certain correlation functions (which implies the absence of the mass gap)
and the static potential $V(R)$ between probe charges in the fundamental
representation, are considered. For the latter, for $R\lesssim1/g$, we observe
a linear confining potential with a finite string tension. This confining
behavior appears distinct from a theoretical conjecture that a probe charge in
the fundamental representation is screened in two-dimensional gauge theory with
an adjoint massless fermion, although the static potential for $R\gtrsim1/g$
has to be systematically explored to conclude real asymptotic behavior in large
distance.
