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

Luiz C. de Albuquerque·Marcelo M. Leite
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Abstract

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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Luiz C. de Albuquerque, Marcelo M. Leite. 2001-11-19. Reply on "Lifshitz-point critical behaviour to $O(ε_L^2)$". https://doi.org/10.1088/0305-4470%2F35%2F7%2F402

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