Microscopic formulation of the S-matrix in AdS/CFT

Details Microscopic formulation of the S-matrix in AdS/CFT Microscopic formulation of the S-matrix in AdS/CFT

2007-09-21

arxiv.org/abs/0709.3342v2

JHEP 0712:044,2007

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, no figures; v2: references and minor clarifications added, version to be published in JHEP

Scientific paper

10.1088/1126-6708/2007/12/044

We develop the derivation we proposed in hep-th/0703177 of the dressing phase of the S-matrix in the AdS/CFT correspondence in the framework of the underlying bare integrable model. We elaborate the configuration of the Bethe roots describing the physical vacuum, which consists of a long Bethe string stretched along the imaginary axis and stacks distributed along the real axis. We determine the distribution of all Bethe roots in the thermodynamic limit. We then directly compute the scattering phase of the fundamental excitations over the physical vacuum and reproduce the BHL/BES dressing phase.

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