Regge Trajectories of N=4 SYM Part I: General Asymptotic Baxter-Bethe Ansatz
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915404047187968 |
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| author | Ekhammar, Simon Gromov, Nikolay Preti, Michelangelo |
| author_facet | Ekhammar, Simon Gromov, Nikolay Preti, Michelangelo |
| contents | In this work, we derive a novel set of equations - the Asymptotic Baxter--Bethe Ansatz - that determine the asymptotic spectrum of Regge trajectories in the BFKL regime of N=4 SYM. In this challenging limit, our method yields multi-loop results in the 't Hooft coupling, with the perturbative accuracy increasing as the quantum numbers grow. Our formalism not only provides a straightforward path to obtain multi-loop perturbative data, as we demonstrate, but also enables the classification of trajectories, paving the way for systematic non-perturbative studies up to the strong-coupling regime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15983 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Regge Trajectories of N=4 SYM Part I: General Asymptotic Baxter-Bethe Ansatz Ekhammar, Simon Gromov, Nikolay Preti, Michelangelo High Energy Physics - Theory In this work, we derive a novel set of equations - the Asymptotic Baxter--Bethe Ansatz - that determine the asymptotic spectrum of Regge trajectories in the BFKL regime of N=4 SYM. In this challenging limit, our method yields multi-loop results in the 't Hooft coupling, with the perturbative accuracy increasing as the quantum numbers grow. Our formalism not only provides a straightforward path to obtain multi-loop perturbative data, as we demonstrate, but also enables the classification of trajectories, paving the way for systematic non-perturbative studies up to the strong-coupling regime. |
| title | Regge Trajectories of N=4 SYM Part I: General Asymptotic Baxter-Bethe Ansatz |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.15983 |