Four spins correlation function of the $q$ states Potts model, for general values of $q$. Its percolation model limit $q\to 1$

Abstract

Under the assumption that the product of two spin operators decomposes uniquely into the degenerate conformal fields $\{{\Phi }_{n^{\prime },n}\}$, the general expression for the correlation function of four spins is defined for the $q$ states Potts model with $q$ taking general values in the interval $1\le q\le 4$. The limit of $q\to 1$ is considered in detail and the four spins function is obtained for the percolation model.

25 pages, 4 figures, clarifying comments are added in the abstract, introduction, and in the section 2

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