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• W3100285276 abstract "We give the Fuchsian linear differential equation satisfied by $chi^{(4)}$, the ``four-particle'' contribution to the susceptibility of the isotropic square lattice Ising model. This Fuchsian differential equation is deduced from a series expansion method introduced in two previous papers and is applied with some symmetries and tricks specific to $chi^{(4)}$. The corresponding order ten linear differential operator exhibits a large set of factorization properties. Among these factorizations one is highly remarkable: it corresponds to the fact that the two-particle contribution $chi^{(2)}$ is actually a solution of this order ten linear differential operator. This result, together with a similar one for the order seven differential operator corresponding to the three-particle contribution, $chi^{(3)}$, leads us to a conjecture on the structure of all the $ n$-particle contributions $ chi^{(n)}$." @default.
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• W3100285276 date "2005-04-25" @default.
• W3100285276 modified "2023-10-07" @default.
• W3100285276 title "Ising model susceptibility: the Fuchsian differential equation for χ⁽⁴⁾and its factorization properties" @default.
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• W3100285276 doi "https://doi.org/10.1088/0305-4470/38/19/007" @default.
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