Regge trajectories of $$ \mathcal{N}=4 $$ SYM. Part I. General Asymptotic Baxter-Bethe Ansatz
Abstract
A bstract 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 $$ \mathcal{N}=4 $$ 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.
Fields of Study & Subjects
Quantum chaos and dynamical systems
Spectral Theory in Mathematical Physics
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 2
- Publication date
- 3 February 2026
- Language
- EN