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

Luiz C. de Albuquerque·Marcelo M. Leite
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Abstract

We present the critical exponents $ν_{L2}$, $η_{L2}$ and $γ_{L}$ for an $m$-axial Lifshitz point at second order in an $ε_{L}$ 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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Luiz C. de Albuquerque, Marcelo M. Leite. 2001-08-15. Anisotropic Lifshitz Point at $O(ε_L^2)$. https://doi.org/10.1088/0305-4470%2F34%2F22%2F102

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