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<p>We study the fixed point of the three-dimensional <span>njl</span> model in a double-scaling limit where both the charge <i>Q</i> and the number of fermion flavors <i>N</i> become large with a fixed ratio <i>q</i> = <i>Q</i>/(2<i>N</i>). 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 <span>cft</span> spectrum in both the large and small <i>q</i> limits beyond the first few orders, and perform a resurgence analysis. Through this approach, we identify the exponential corrections that relate the convergent small-<i>q</i> expansion to the asymptotic large-<i>q</i> behavior. Our results are suggestive of a geometric interpretation in terms of the worldline of particles moving along the geodesics on the cylinder.</p>

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

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  • 发表日期：

    2025年9月18日

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  • Jahmall Bersini,
  • Simeon Hellerman,
  • Domenico Orlando,
  • Susanne Reffert

摘要

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.