2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/21370We 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 $θ\ne 1/2$, and therefore yields incorrect hyperscaling relations. His $ε$-expansion results to order $ε^2$ 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.A comment on M. Leite, Phys Rev B 67, 104415 (2003) revtex4, 2 pagesStatistical MechanicsSoft Condensed MatterHigh Energy Physics - Theorytext