Reply on "Lifshitz-point critical behaviour to $O(ε_L^2)$"

Details Reply on "Lifshitz-point critical behaviour to $O(ε_L^2)$" Reply on "Lifshitz-point critical behaviour to $O(ε_L^2)$"

2001-08-15

arxiv.org/abs/cond-mat/0108254v4

Physics

Condensed Matter

Statistical Mechanics

Minor modifications according to the referee's suggestions

Scientific paper

10.1088/0305-4470/35/7/402

We reply to a recent comment by H. W. Diehl and M. Shpot (cond-mat/0106502) criticizing our paper J. Phys. A: Math. Gen. 34 (2001) L327-332. We show that the approximation we use for evaluating higher-loop integrals is consistent with homogeneity. A new renormalization group approach is presented in order to compare the two methods with high-precision numerical data concerning the uniaxial case. We stress that the isotropic behaviour cannot be obtained from the anisotropic one.

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