Anisotropic Lifshitz Point at $O(ε_L^2)$

Details Anisotropic Lifshitz Point at $O(ε_L^2)$ Anisotropic Lifshitz Point at $O(ε_L^2)$

2001-08-15

arxiv.org/abs/cond-mat/0108253v1

J.Phys. A34 (2001) L327-332

Physics

Condensed Matter

Statistical Mechanics

10 pages, Revtex

Scientific paper

10.1088/0305-4470/34/22/102

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 $0 \leq m < d$. The case $m=0$ corresponds to the usual Ising-like critical behavior.

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