We comment on a recent letter by L. C. de Albuquerque and M. M. Leite (J. Phys. A: Math. Gen. 34 (2001) L327-L332), in which results to second order in $\epsilon=4-d+\frac{ m}{ 2}$ were presented for the critical exponents $\nu_{ { \mathrm{ L}}2}$, $\eta_{ { \mathrm{ L}}2}$ and $\gamma_{ { \mathrm{ L}}2}$ of d-dimensional systems at m-axial Lifshitz points. We point out that their results are at variance with ours. The discrepancy is due to their incorrect computation of momentum-space integrals. Their speculation that the field-theoretic renormalization group approach, if performed in position space, might give results different from when it is performed in momentum space is refuted.
Categories: cond-mat.stat-mech