New renormalization group approach and scaling laws for the Lifshitz critical behavior

Details New renormalization group approach and scaling laws for the Lifshitz critical behavior New renormalization group approach and scaling laws for the Lifshitz critical behavior

2001-09-05

arxiv.org/abs/hep-th/0109037v3

Physics

High Energy Physics

High Energy Physics - Theory

Revtex, 12 pages, one reference added, some typos fixed, comparison with other treatments clarified, results unchanged

Scientific paper

A new renormalization group treatment is proposed for the critical exponents of an m-fold Lifshitz point. The anisotropic cases (m not equal 8) are described by two independent fixed points associated to two independent momentum flow along the quadratic and quartic directions, respectively. The isotropic case is described separately. In that case, the fixed point is due to renormalization group transformations along the quartic directions. The new scaling laws are derived for both cases and generalize the ones previously reported.

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