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A relationship between the two-point correlation function of the Ising model in the critical region and the 〈sin (0) sin () 〉 Green's function of a sine-Gordon field is constructed. This relationship is tested by means of a mass perturbation expansion with an infrared cutoff and shown to agree, at the leading-logarithm approximation and up to the second order, with the exact result of the Ising model.
Zuber et al. (Sun,) studied this question.