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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2408.03673 |
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| _version_ | 1866912212199669760 |
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| author | Georgiou, George |
| author_facet | Georgiou, George |
| contents | In contradistinction to the case of massive excitations, the connection between integrability and the tree-level massless scattering matrix of integrable $σ$-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). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03673 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The massless S-matrix of integrable $σ$-models Georgiou, George High Energy Physics - Theory High Energy Physics - Phenomenology Exactly Solvable and Integrable Systems In contradistinction to the case of massive excitations, the connection between integrability and the tree-level massless scattering matrix of integrable $σ$-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). |
| title | The massless S-matrix of integrable $σ$-models |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2408.03673 |