Reply to "Comment on Renormalization group picture of the Lifshitz critical behaviors"

Details Reply to "Comment on Renormalization group picture of the Lifshitz critical behaviors" Reply to "Comment on Renormalization group picture of the Lifshitz critical behaviors"

2003-06-10

arxiv.org/abs/cond-mat/0306254v1

Physics

Condensed Matter

Statistical Mechanics

RevTex, 6 pages

Scientific paper

10.1103/PhysRevB.68.066402

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 is consistent with homogeneity for arbitrary loop momenta. We show that the criticism is incorrect.

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