Abstract
We show how to use the minimal subtraction scheme and asymmetric renormalization procedure to calculate the crossover behavior of the hard susceptibility in the case of an anisotropic system near a bicritical point. The effective exponent governing the singular temperature dependence of the hard susceptibility changes from γ N to 1− α M as T → T c , where N is the total number of spin components, M is the number of soft components, γ N is the O( N) susceptibility exponent and α M is the O( M) specific heat exponent. The full crossover function is obtained using a trajectory integral approach.
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