  In this work we make use of proper-time method to evaluate Schwinger effect
in the presence of Lorentz-violating background fields. Specifically, we
evaluate the one-loop effective Lagrangian in the presence of Lorentz-violating
time-like vector background $b_\mu$ and pseud-scalar $m_5$ for the pure
electric case. The imaginary part of the effective Lagrangian is computed in
order to calculate the Schwinger effect. Comments on phenomenology are also
performed.
