Renormalon Echoes from the Crystal Phase

Abstract
I will present how a strongly coupled inhomogeneous phase of the Gross-Neveu model appears as non-perturbative effects at weak coupling. By turning on a chemical potential to a subset of fermion in the O(2N) Gross-Neveu model, we discover that at large N bound states coalesce in a "crystal". This phase is characterised by two new dynamically generated scales that show up in perturbation theory as exotic renormalon effects. Through integrability, these non-perturbative effects can be understood exactly at both infinite and finite N.

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