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Uniaxial Lifshitz Point at $O(ε_L^2)$

Luiz C. de Albuquerque·Marcelo M. Leite
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Abstract

The critical exponents $ν_{L2}, η_{L2}$ and $γ_{L2}$ of a uniaxial Lifshitz point are calculated at two-loop level using renormalization group and $ε_{L}$-expansion techniques. We found a new constraint involving the loop momenta along the competition axis, which allows to solve the two-loop integrals. The exponent $γ_{L2}$ obtained using our method is in good agreement with numerical estimates based on Monte Carlo simulations.

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Luiz C. de Albuquerque, Marcelo M. Leite. 2001-12-13. Uniaxial Lifshitz Point at $O(ε_L^2)$. https://arxiv.org/abs/cond-mat/0006462

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