Reply to “ Comment on Renormalization group picture of the Lifshitz critical behavior ”
نویسنده
چکیده
We reply to a recent comment by Diehl and Shpot (cond-mat/0305131) criticizing a new approach to the Lifshitz critical behavior just presented (M. M. Leite, Phys. Rev. B 67, 104415(2003)). We show that this approach is free of inconsistencies in the ultraviolet regime. We recall that the orthogonal approximation employed to solve arbitrary loop diagrams worked out at the criticized paper even at three-loop level are consistent with homogeneity for arbitrary loop momenta. We show that the criticism is incorrect. PACS: 64.60.Kw; 75.40.Cx Typeset using REVTEX e-mail:[email protected]
منابع مشابه
1 Reply on “ Lifshitz - point critical behaviour to O ( ǫ 2 L ) ”
We reply to a recent comment by H. W. Diehl and M. Shpot (condmat/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....
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