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

Autor: Luca Griguolo, Rodolfo Panerai, Jacopo Papalini, Domenico Seminara, Itamar Yaakov
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 6, Pp 1-33 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP06(2024)188
Popis: Abstract We compute the exact all-orders perturbative expansion for the partition function of 2d SU(2) Yang-Mills theory on closed surfaces around higher critical points of the classical action. 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.
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