Uniaxial Lifshitz Point at O(ǫ
نویسنده
چکیده
The critical exponents νL2, ηL2 and γL2 of a uniaxial Lifshitz point are calculated at two-loop level using renormalization group and ǫL-expansion techniques. We introduced a new constraint involving the loop momenta along the competition axis, which allows to solve the two-loop integrals. The exponent γL2 obtained using our method is in good agreement with numerical estimates based on Monte Carlo simulations. PACS: 75.40.-s; 75.40.Cx; 64.60.Kw Typeset using REVTEX e-mail:[email protected] e-mail:[email protected] 1
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ar X iv : c on d - m at / 0 00 64 62 v 3 1 9 M ar 2 00 1 Uniaxial Lifshitz Point at O ( ǫ 2 L )
The critical exponents νL2, ηL2 and γL of a uniaxial Lifshitz point are calculated at two-loop level using renormalization group and ǫL expansion techniques. We introduced a new constraint involving the loop momenta along the competition axis, which allows to solve the two-loop integrals. The exponent γL obtained using our method is in good agreement with numerical estimates based on Monte Carl...
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