Resurgence analysis of the Nambu-Jona-Lasinio model at large charge

• Published in: Journal of High Energy Physics
• Main Authors: Jahmall Bersini, Simeon Hellerman, Domenico Orlando, Susanne Reffert
• Format: Article
• Language: English
• Published: SpringerOpen 2025-09-01
• Subjects: Nonperturbative Effects; Scale and Conformal Symmetries; Global Symmetries; Large-Order Behaviour of Perturbation Theory; Renormalons
• Online Access: https://doi.org/10.1007/JHEP09(2025)159

Abstract We study the fixed point of the three-dimensional njl model in a double-scaling limit where both the charge Q and the number of fermion flavors N become large with a fixed ratio q = Q/(2N). While a similar analysis has been performed for the bosonic O(N) model, fermionic models pose new challenges. In this work, we systematically explore the cft spectrum in both the large and small q limits beyond the first few orders, and perform a resurgence analysis. Through this approach, we identify the exponential corrections that relate the convergent small-q expansion to the asymptotic large-q behavior. Our results are suggestive of a geometric interpretation in terms of the worldline of particles moving along the geodesics on the cylinder.