Uniaxial Lifshitz Point at $O(ε_L^2)$
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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.
18 pages, Revtex, updated version with four figures, some references added
18 pages, Revtex, updated version with four figures, some references added