  We study the behavior of two-dimensional Dirac fermions in the presence of a
static long-range-correlated random vector potential. By applying an exact path
integral representation for the propagator of a spinor particle we obtain
asymptotics of the gauge invariant spectral function and the correlation
function of the local density of states, both in the ballistic regime of
sufficiently high energies. We also discuss localization properties of the
random Dirac wave functions in the complementary zero energy limit and the
putative localization scenario.
