Semiclassics at the cusp
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917414410649600 |
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| author | Bersini, Jahmall Orlando, Domenico Reffert, Susanne Woods, Jesse |
| author_facet | Bersini, Jahmall Orlando, Domenico Reffert, Susanne Woods, Jesse |
| contents | We study cusped Wilson line operators in the Abelian Higgs model in $ d = 4 - ε$ at large external charges. Using a double-scaling limit $ Q \to \infty $, $ ε\to 0 $ with $ Qε$ fixed, we develop a semiclassical framework that provides analytic control beyond fixed-order perturbation theory. We compute the cusp anomalous dimension for arbitrary charges up to next-to-next-to-leading order in the gauge coupling, while resumming scalar self-interactions to all orders. Our results interpolate between perturbative and large-charge regimes, accessing domains that are invisible in fixed-order perturbation theory. As an application, we provide new predictions for various defect CFT observables, including the Mandelstam-Schwinger-dressed two-point function characterizing the superconducting phase transition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_15422 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Semiclassics at the cusp Bersini, Jahmall Orlando, Domenico Reffert, Susanne Woods, Jesse High Energy Physics - Theory We study cusped Wilson line operators in the Abelian Higgs model in $ d = 4 - ε$ at large external charges. Using a double-scaling limit $ Q \to \infty $, $ ε\to 0 $ with $ Qε$ fixed, we develop a semiclassical framework that provides analytic control beyond fixed-order perturbation theory. We compute the cusp anomalous dimension for arbitrary charges up to next-to-next-to-leading order in the gauge coupling, while resumming scalar self-interactions to all orders. Our results interpolate between perturbative and large-charge regimes, accessing domains that are invisible in fixed-order perturbation theory. As an application, we provide new predictions for various defect CFT observables, including the Mandelstam-Schwinger-dressed two-point function characterizing the superconducting phase transition. |
| title | Semiclassics at the cusp |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.15422 |