Localization and resummationof unstable instantons in 2d Yang-Mills
Localization and resummationof unstable instantons in 2d Yang-Mills
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.
Nonperturbative Effects, Solitons Monopoles and Instantons, Supersymmetric Gauge Theory, Topological Field Theories
Griguolo, Luca
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Panerai, Rodolfo
557cf2f1-88c0-459e-9bc2-87817afbe2f5
Papalini, Jacopo
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Seminara, Domenico
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Yaakov, Itamar
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27 June 2024
Griguolo, Luca
1314c793-a7eb-447a-bd37-562887e7ffe1
Panerai, Rodolfo
557cf2f1-88c0-459e-9bc2-87817afbe2f5
Papalini, Jacopo
916af386-a900-46ec-8677-3542df012455
Seminara, Domenico
6806617e-cbc1-4080-9873-e00cc1f60519
Yaakov, Itamar
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e
Griguolo, Luca, Panerai, Rodolfo, Papalini, Jacopo, Seminara, Domenico and Yaakov, Itamar
(2024)
Localization and resummationof unstable instantons in 2d Yang-Mills.
Journal of High Energy Physics, 2024 (6), [188].
(doi:10.1007/JHEP06(2024)188).
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.
Text
JHEP06(2024)188
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Accepted/In Press date: 3 June 2024
Published date: 27 June 2024
Keywords:
Nonperturbative Effects, Solitons Monopoles and Instantons, Supersymmetric Gauge Theory, Topological Field Theories
Identifiers
Local EPrints ID: 492178
URI: http://eprints.soton.ac.uk/id/eprint/492178
ISSN: 1126-6708
PURE UUID: f938dcff-e7d6-44ef-9282-8369cc3e77c8
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Date deposited: 19 Jul 2024 16:34
Last modified: 20 Jul 2024 02:10
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Contributors
Author:
Luca Griguolo
Author:
Rodolfo Panerai
Author:
Jacopo Papalini
Author:
Domenico Seminara
Author:
Itamar Yaakov
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