Long Range Asymptotic Baxter-Bethe Ansatz for N=4 BFKL
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910503734870016 |
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| author | Ekhammar, Simon Gromov, Nikolay Preti, Michelangelo |
| author_facet | Ekhammar, Simon Gromov, Nikolay Preti, Michelangelo |
| contents | We demonstrate that the Balitsky-Fadin-Kuraev-Lipatov regime of maximally supersymmetric Yang-Mills theory can be explicitly solved up to the L+1 order in weak coupling by uncovering a novel long-range asymptotic Baxter-Bethe ansatz for trajectories with L scalar fields. The set of equations we have found is reminiscent of the Beisert-Eden-Staudacher equations for local operators but instead applies to non-local operators corresponding to the horizontal Regge trajectories. We also verify and give new predictions for the light-ray operator spectrum by resummation of the leading singularities in our result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18639 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Long Range Asymptotic Baxter-Bethe Ansatz for N=4 BFKL Ekhammar, Simon Gromov, Nikolay Preti, Michelangelo High Energy Physics - Theory We demonstrate that the Balitsky-Fadin-Kuraev-Lipatov regime of maximally supersymmetric Yang-Mills theory can be explicitly solved up to the L+1 order in weak coupling by uncovering a novel long-range asymptotic Baxter-Bethe ansatz for trajectories with L scalar fields. The set of equations we have found is reminiscent of the Beisert-Eden-Staudacher equations for local operators but instead applies to non-local operators corresponding to the horizontal Regge trajectories. We also verify and give new predictions for the light-ray operator spectrum by resummation of the leading singularities in our result. |
| title | Long Range Asymptotic Baxter-Bethe Ansatz for N=4 BFKL |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.18639 |