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Pré-Publication, Document De Travail Année : 2004

The Fuchsian differential equation of the square lattice Ising model Ki(3) susceptibility

Résumé

Using an expansion method in the variables $x_i$ that appear in the $(n-1)$-dimensional integrals representing the $n$-particle contribution to the Ising square lattice model susceptibility $\chi$, we generate a long series of coefficients for the 3-particle contribution $\chi^{(3)}$, using a $N^4$ polynomial time algorithm. We give the Fuchsian differential equation of order seven for $\chi^{(3)}$ that reproduces all the terms of our long series. An analysis of the properties of this Fuchsian differential equation is performed.

Dates et versions

hal-00002775 , version 1 (03-09-2004)

Identifiants

Citer

N. Zenine, S. Boukraa, S. Hassani, J.-M. Maillard. The Fuchsian differential equation of the square lattice Ising model Ki(3) susceptibility. 2004. ⟨hal-00002775⟩
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