The extended scaled equation of state (namely, the scaled form of the wave-number dependent nonlinear susceptibility) is confirmed up to the first order of 1/n, in the classical n-vector model with general range of interactions. Critical exponents γ, δ, η, ν and Δ are evaluated systematically to order 1/n, both for short-range and long-range interactions to check universality and scaling relations.
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Masuo Suzuki (1973) studied this question.