Anisotropic Lifshitz Point at $O({\epsilon }_L^2)$

Abstract

We present the critical exponents ${\nu }_{L2}$, ${\eta }_{L2}$ and ${\gamma }_L$ for an $m$-axial Lifshitz point at second order in an ${\epsilon }_L$ expansion. We introduced a constraint involving the loop momenta along the $m$-dimensional subspace in order to perform two- and three-loop integrals. The results are valid in the range $0\le m<d$. The case $m=0$ corresponds to the usual Ising-like critical behavior.

10 pages, Revtex

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