  We show that the recent renormalization-group analysis of Lifshitz critical
behavior presented by Leite [Phys. Rev. B {\bf 67}, 104415 (2003)] suffers from
a number of severe deficiencies. In particular, we show that his approach does
not give an ultraviolet finite renormalized theory, is plagued by
inconsistencies, misses the existence of a nontrivial anisotropy exponent
$\theta\ne 1/2$, and therefore yields incorrect hyperscaling relations. His
$\epsilon$-expansion results to order $\epsilon^2$ for the critical exponents
of $m$-axial Lifshitz points are incorrect both in the anisotropic ($0<m<d$)
and the isotropic cases ($m=d$). The inherent inconsistencies and the lack of a
sound basis of the approach makes its results unacceptable even if they are
interpreted in the sense of approximations.
