Universality in the resurgence of generalized Tracy-Widom distributions
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866916967742439424 |
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| author | Bajnok, Zoltan Boldis, Bercel Plat, Dennis le |
| author_facet | Bajnok, Zoltan Boldis, Bercel Plat, Dennis le |
| contents | We analyze determinants associated with Bessel kernels and generic symbol functions, which govern a class of observables across all values of the 't Hooft coupling in supersymmetric gauge theories. Previous approaches, based on integro-differential equations, have provided systematic strong-coupling expansions for the logarithms of these determinants, expressed through the moments of the symbol. The resulting asymptotic series, once completed with non-perturbative terms, allowed the leading resurgence relations to be tested. In this Letter we focus directly on the determinants themselves, and we uncover a strikingly simple non-perturbative structure: all trans-series corrections share a universal form, while the moments transform in a direct and intuitive way. This simplicity points to an underlying organizing principle for the non-perturbative dynamics of gauge theory observables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20302 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Universality in the resurgence of generalized Tracy-Widom distributions Bajnok, Zoltan Boldis, Bercel Plat, Dennis le High Energy Physics - Theory We analyze determinants associated with Bessel kernels and generic symbol functions, which govern a class of observables across all values of the 't Hooft coupling in supersymmetric gauge theories. Previous approaches, based on integro-differential equations, have provided systematic strong-coupling expansions for the logarithms of these determinants, expressed through the moments of the symbol. The resulting asymptotic series, once completed with non-perturbative terms, allowed the leading resurgence relations to be tested. In this Letter we focus directly on the determinants themselves, and we uncover a strikingly simple non-perturbative structure: all trans-series corrections share a universal form, while the moments transform in a direct and intuitive way. This simplicity points to an underlying organizing principle for the non-perturbative dynamics of gauge theory observables. |
| title | Universality in the resurgence of generalized Tracy-Widom distributions |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.20302 |