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

Autor:	Griguolo, Luca, Panerai, Rodolfo, Papalini, Jacopo, Seminara, Domenico, Yaakov, Itamar
Rok vydání:	2024
Předmět:	High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	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. Comment: 35 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2403.00053 Zobrazit plný text záznamu View this record from Arxiv