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- W1669544038 abstract "Maximally supersymmetric Yang‐Mills theory in the 't Hooft limit is apparently completely integrable. Bethe equations then enable us to compute anomalous dimensions, for example those of twist‐two operators, exactly at very high perturbative orders. The Bethe ansatz in turn is based on the (worldsheet) S‐matrix which is reviewed in this talk. The flavour structure of the S‐matrix is completely fixed by symmetry and an overall phase is partially constrained by a crossing relation. In hep‐th/0610251 we have recently proposed an expression for this phase to all perturbative orders which is consistent with presently available data. For instance, it leads to an integral equation for the high‐spin limit of twist‐two operators (also known as the cusp/soft anomalous dimension) at finite coupling. In fact, this result appears to be a part of the corresponding analytic answer for *every* four‐dimensional gauge theory including QCD.The putatively exact phase also leads to one of the strongest tests of the AdS/CFT conjecture to date: We can now show complete agreement with dynamical results in non‐interacting IIB superstrings on the AdS5×S5 background by reexpanding the phase at strong coupling." @default.
- W1669544038 created "2016-06-24" @default.
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- W1669544038 date "2007-01-01" @default.
- W1669544038 modified "2023-10-16" @default.
- W1669544038 title "The Worldsheet S-Matrix of Planar N = 4 Gauge Theory (Abstract)" @default.
- W1669544038 doi "https://doi.org/10.1063/1.2803797" @default.
- W1669544038 hasPublicationYear "2007" @default.
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