Corpus ID: 219559137

Resurgence and renormalons in the one-dimensional Hubbard model

@article{Mario2020ResurgenceAR,
  title={Resurgence and renormalons in the one-dimensional Hubbard model},
  author={M. Mari{\~n}o and Tom{\'a}s Reis},
  journal={arXiv: High Energy Physics - Theory},
  year={2020}
}
We use resurgent analysis to study non-perturbative aspects of the one-dimensional, multicomponent Hubbard model with an attractive interaction and arbitrary filling. In the two-component case, we show that the leading Borel singularity of the perturbative series for the ground-state energy is determined by the energy gap, as expected for superconducting systems. This singularity turns out to be of the renormalon type, and we identify a class of diagrams leading to the correct factorial growth… Expand

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Testing the Bethe ansatz with large N renormalons
Three roads to the energy gap

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