Liftshitz-point critical behaviour to O(ϵ2)

DOI10.1088/0305-4470/34/42/401zbMATH Open0994.82031arXivcond-mat/0106502OpenAlexW1985296873MaRDI QIDQ4533530

H. W. Diehl, M. A. Shpot

Publication date: 11 June 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Abstract: 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 $epsilon=4-d+fracm2$ were presented for the critical exponents $u_{mathrmL2}$, $et{a}_{mathrmL2}$ and $gamm{a}_{mathrmL2}$ 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.

Full work available at URL: https://arxiv.org/abs/cond-mat/0106502

zbMATH Keywords

renormalization group approachLifshitz points

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26)

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