标题： Nambu-Jona-Lasinio 模型在大电荷下的复苏分析 显示英文标题

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

摘要： 我们研究了三维NJL模型中的不动点，在双尺度极限下，电荷$Q$和费米子味的数量$N$同时变得很大，且保持固定的比率$q=Q/(2N)$。 虽然类似分析已针对玻色O(N)模型完成，但费米子模型提出了新的挑战。 在这项工作中，我们系统地探索了CFT谱在大和小$q$极限下的情况，并进行了复苏分析，超越了最初的几阶。 通过这种方法，我们确定了指数修正，这些修正将收敛的小$q$展开与渐近的大$q$行为联系起来。 我们的结果暗示了这些结果在几何上的解释，即粒子沿着圆柱上的测地线运动的世界线上。 显示英文摘要

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 of these results in terms of the worldline of particles moving along the geodesics on the cylinder.