Year: 2025
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Bajnok, Zoltan, Boldis, Bercel, Plat, Dennis le
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7083511196
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