1. The massless S-matrix of integrable $\sigma$-models
- Author
-
Georgiou, George
- Subjects
High Energy Physics - Theory ,High Energy Physics - Phenomenology ,Nonlinear Sciences - Exactly Solvable and Integrable Systems - 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)., Comment: 32 pages
- Published
- 2024