Resurgence and renormalons in the one-dimensional Hubbard model

We use resurgent analysis to study non-perturbative aspects of the one-dimensional, multicomponent Hubbard model with an attractive interaction and arbitrary filling. In two-component case, we show that leading Borel singularity perturbative series for ground-state energy is determined by gap, as expected superconducting systems. This turns out be renormalon type, identify a class diagrams correct factorial growth. As consequence our analysis, propose explicit expression gap at weak coupling in multi-component model, next-to-leading order constant. two-component, half-filled Bethe ansatz solution determine full trans-series ground state energy, exact form its Stokes discontinuity.