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Abstract: In integrable field theories the S-matrix is usually a product of arelatively simple matrix and a complicated scalar factor. We make anobservation that in many relativistic integrable field theories the scalarfactor can be expressed as a convolution of simple kernels appearing in thenested levels of the nested Bethe ansatz. We formulate a proposal, up to somediscrete ambiguities, how to reconstruct the scalar factor from the nestedBethe equations and check it for several relativistic integrable fieldtheories. We then apply this proposal to the AdS asymptotic Bethe ansatz andrecover the dressing factor in the integral representation of Dorey, Hofman andMaldacena.

Autor: Romuald A. Janik, Tomasz Lukowski


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