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arXiv · 2505.21631

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

Jahmall Bersini·Simeon Hellerman·Domenico Orlando·Susanne Reffert
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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 of these results in terms of the worldline of particles moving along the geodesics on the cylinder.

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Jahmall Bersini, Simeon Hellerman, Domenico Orlando, Susanne Reffert. 2025-05-27. Resurgence Analysis of the Nambu-Jona-Lasinio model at large charge. https://arxiv.org/abs/2505.21631

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