  We study effects of Fermi surface fluctuations on a single-particle life time
near the diagonal electronic nematic phase on a two-dimensional square lattice.
It has been shown that there exists a quantum critical point (QCP) between the
diagonal nematic and isotropic phases. We study the longitudinal fluctuations
of the order parameter near the critical point, where the singular forward
scattering leads to a non-Fermi liquid behavior over the whole Fermi surface
except along the k_x- and k_y-directions. We will also discuss the temperature
and chemical potential dependence of the single-particle decay rate.
