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arxiv: 1003.0751 · v2 · pith:LPC443YSnew · submitted 2010-03-03 · 🧮 math-ph · math.MP

The saga of the Ising susceptibility

classification 🧮 math-ph math.MP
keywords formisinglambdasusceptibilitytermsclosedcomparedcomputed
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We review developments made since 1959 in the search for a closed form for the susceptibility of the Ising model. The expressions for the form factors in terms of the nome $q$ and the modulus $k$ are compared and contrasted. The $\lambda$ generalized correlations $C(M,N;\lambda)$ are defined and explicitly computed in terms of theta functions for $M=N=0,1$.

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