On the origin of the dressing phase in N=4 Super Yang-Mills

Abstract

We derive the phase factor proposed by Beisert, Eden and Staudacher for the S-matrix of planar N=4 Super Yang-Mills, from the all-loop Bethe ansatz equations without the dressing factor. We identify a configuration of the Bethe roots, from which the closed integral formula of the phase factor is reproduced in the thermodynamic limit. This suggests that our configuration describes the ``physical vacuum'' in the sense that the dressing phase is nothing but the effective phase for the scattering of fundamental excitations above this vacuum, providing an interesting clue to the physical origin of the dressing phase.

arXiv comment8 pages, no figures; (v2) comments and references added; (v3) changes in presentation and title

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• Wrapping interactions at strong coupling -- the giant magnon
• Twist-three at five loops, Bethe Ansatz and wrapping
• Constructing the AdS/CFT dressing factor
• The one-loop worldsheet S-matrix for the AdS(n) x S(n) x T(10-2n) superstring
• Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
• A Yangian Double for the AdS/CFT Classical r-matrix
• q-Deformed Supersymmetry and Dynamic Magnon Representations
• Superspin chains and supersymmetric gauge theories
• From nesting to dressing