  We consider a theory of scalar and spinor fields, interacting through Yukawa
and phi^4 interactions, with Lorentz-violating operators included in the
Lagrangian. We compute the leading quantum corrections in this theory. The
renormalizability of the theory is explicitly shown up to one-loop order. In
the pure scalar sector, the calculations can be generalized to higher orders
and to include finite terms, because the theory can be solved in terms of its
Lorentz-invariant version.
