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Uniaxial Lifshitz Point at O(ǫ 2 L)

By Luiz C. De Albuquerque and Marcelo M. Leite

Abstract

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

Year: 2001
OAI identifier: oai:CiteSeerX.psu:10.1.1.243.507
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