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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.00053 |
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| _version_ | 1866913248821903360 |
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| author | Griguolo, Luca Panerai, Rodolfo Papalini, Jacopo Seminara, Domenico Yaakov, Itamar |
| author_facet | Griguolo, Luca Panerai, Rodolfo Papalini, Jacopo Seminara, Domenico Yaakov, Itamar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_00053 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Localization and resummation of unstable instantons in 2d Yang-Mills Griguolo, Luca Panerai, Rodolfo Papalini, Jacopo Seminara, Domenico Yaakov, Itamar High Energy Physics - Theory 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. |
| title | Localization and resummation of unstable instantons in 2d Yang-Mills |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.00053 |