Critical behavior of pair correlation function in ising ferromagnets

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2) We will study in § 3 the critical behavior of pair correlation function in the presence of magnetic field, and compare our results with those of other theories. Throughout §§ 2 and 3 we will use the same notations and definitions as in I, unless otherwise mentioned. The second purpose of this paper is to discuss the pair correlation function from a diagrammatic point of view. Some time ago, the present author published a paper 3 ) (to be referred to as D) in which a diagrammatic method is developed for studying the phase transition of Ising model. We were led there to the Curie-Weiss law for the susceptibility, which is not consistent with the singularity (T-Tc)-\ Cr>1). We will remedy in § 4 this inconsistency and discuss a relevance of the results in § 3 with those obtained by a diagrammatic method.

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