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Localization and resummationof unstable instantons in 2d Yang-Mills.
- Source :
-
Journal of High Energy Physics . Jun2024, Vol. 2024 Issue 6, p1-33. 33p. - Publication Year :
- 2024
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2024
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 179054688
- Full Text :
- https://doi.org/10.1007/JHEP06(2024)188