In the light-cone gauge-fixed Jordanian deformation of AdS5×S5, on-shell cubic vertices produce nonzero 1-to-2 and 2-to-1 scattering processes, indicating particle production.
The massless S-matrix of integrable $\sigma$-models
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abstract
In contradistinction to the case of massive excitations, the connection between integrability and the tree-level massless scattering matrix of integrable $\sigma$-models is lost. Namely, in well-known 2-d integrable models the tree-level massless S-matrix exhibits particle production and fails to factorise. This is conjectured to happen due to IR ambiguities in the massless tree-level amplitudes. We present a definition of the massless S-matrix which has all the nice properties of integrable theories, there is no particle production and the S-matrix factorises. As an example, we present in detail the case of the $SU(2)$ principal chiral model (PCM).
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Particle production in a light-cone gauge fixed Jordanian deformation of $AdS_5\times S^5$
In the light-cone gauge-fixed Jordanian deformation of AdS5×S5, on-shell cubic vertices produce nonzero 1-to-2 and 2-to-1 scattering processes, indicating particle production.