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arXiv · 2507.15983

Regge Trajectories of N=4 SYM Part I: General Asymptotic Baxter-Bethe Ansatz

Simon Ekhammar·Nikolay Gromov·Michelangelo Preti
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Abstract

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.

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Simon Ekhammar, Nikolay Gromov, Michelangelo Preti. 2025-07-21. Regge Trajectories of N=4 SYM Part I: General Asymptotic Baxter-Bethe Ansatz. https://arxiv.org/abs/2507.15983

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