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

@article{lvarez2000SummabilityOT,
  title={Summability of the perturbative expansion for a zero-dimensional disordered spin model},
  author={G. {\'A}lvarez and V. Martin-Mayor and J. Ruiz-Lorenzo},
  journal={Journal of Physics A},
  year={2000},
  volume={33},
  pages={841-850}
}
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… Expand
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