Critical Behavior of the Two-Dimensional Ising Susceptibility (original) (raw)
2001, Physical Review Letters
We report computations of the short-distance and the long-distance (scaling) contributions to the square-lattice Ising susceptibility in zero field close to T c . Both computations rely on the use of nonlinear partial difference equations for the correlation functions. By summing the correlation functions, we give an algorithm of complexity O(N 6 ) for the determination of the first N series coefficients. Consequently, we have generated and analysed series of length several hundred terms, generated in about 100 hours on an obsolete workstation. In terms of a temperature variable, τ , linear in T /T c − 1, the short-distance terms are shown to have the form τ p (ln |τ |) q with p ≥ q 2 .
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