Abstract
We investigate n-gluon scattering amplitudes in the multi-Regge region of \( \mathcal{N}=4 \) supersymmetric Yang-Mills theory at strong coupling. Through a careful analysis of the thermodynamic bubble ansatz (TBA) for surfaces in AdS 5 with n-g(lu)on boundary conditions we demonstrate that the multi-Regge limit probes the large volume regime of the TBA. In reaching the multi-Regge regime we encounter wall-crossing in the TBA for all n > 6. Our results imply that, in this limit, amplitudes at strong coupling can be calculated through an auxiliary system of algebraic Bethe ansatz equations. Their solutions are expected to determine the strong coupling analogue of Regge cut contributions to the amplitude.
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Bartels, J., Schomerus, V. & Sprenger, M. Multi-Regge limit of the n-gluon bubble ansatz. J. High Energ. Phys. 2012, 145 (2012). https://doi.org/10.1007/JHEP11(2012)145
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DOI: https://doi.org/10.1007/JHEP11(2012)145