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Summability of the perturbative expansion for a zero-dimensional disordered spin model

G. Alvarez·V. Martin-Mayor·J. J. Ruiz-Lorenzo
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Abstract

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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G. Alvarez, V. Martin-Mayor, J. J. Ruiz-Lorenzo. 1999-10-13. Summability of the perturbative expansion for a zero-dimensional disordered spin model. https://doi.org/10.1088/0305-4470%2F33%2F5%2F302

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