标题： 二维杨-米尔斯理论中不稳定瞬子的定位与重求和 显示英文标题

标题： Localization and resummation of unstable instantons in 2d Yang-Mills

摘要： 我们计算了二维 $\mathrm{SU}(2)$ 杨-米尔斯理论在闭曲面上围绕高阶临界点的分区函数的精确全阶摄动展开。 我们证明，该展开可以从所有亏格的格点分区函数出发，利用泊松求和公式的分布广义形式推导得出。 然后，我们通过超对称局域化的定态相位版本重新计算了这一展开。 局域化的结果是一种新的有效作用量，它本身是一个分布而不是超对称模空间上的函数。 我们讨论了这种结果可能在 \$ A \$-扭转模型及其高维类比中的应用。 显示英文摘要

摘要： We compute the exact all-orders perturbative expansion for the partition function of 2d $\mathrm{SU}(2)$ Yang-Mills theory on closed surfaces around higher critical points. We demonstrate that the expansion can be derived from the lattice partition function for all genera using a distributional generalization of the Poisson summation formula. We then recompute the expansion directly, using a stationary phase version of supersymmetric localization. The result of localization is a novel effective action which is itself a distribution rather than a function of the supersymmetric moduli. We comment on possible applications to A-twisted models and their analogs in higher dimensions.