%0 Journal Article
%A Álvarez, Gabriel
%A Martín Mayor, Víctor
%A Ruiz Lorenzo, Juan J.
%T Summability of the perturbative expansion for a zero-dimensional disordered spin model
%D 2000
%@ 0305-4470
%U https://hdl.handle.net/20.500.14352/60330
%X We show analytically that the perturbative expansion for the free energy of the zero dimensional (quenched) disordered Ising model is Borel-summable in a certain range of parameters, provided that the summation is carried out in two steps: first, in the strength of the original coupling of the Ising model and subsequently in the variance of the quenched disorder. This result is illustrated by some high-precision calculations of the free energy obtained by a straightforward numerical implementation of our sequential summation method.
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