# Resurgence and renormalons in the one-dimensional Hubbard model

@article{Mario2020ResurgenceAR, title={Resurgence and renormalons in the one-dimensional Hubbard model}, author={Marcos 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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