Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-06-25
J. Phys. A 34 (2001) 9101-9105
Physics
Condensed Matter
Statistical Mechanics
Latex file, uses the included iop stylefiles; Uses the texdraw package to generate included figures
Scientific paper
10.1088/0305-4470/34/42/401
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.
Diehl H. W.
Shpot M.
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