The massless S-matrix of integrable σ-models
Abstract 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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)189 |
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| author | George Georgiou |
| author_facet | George Georgiou |
| author_sort | George Georgiou |
| collection | DOAJ |
| description | Abstract 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. Our definition works for the large class of σ-models with one or more isometries. As an example, we present in detail the case of the SU(2) principal chiral model (PCM). |
| format | Article |
| id | doaj-art-176c1b15a33e473c88b100d6c54f052e |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-176c1b15a33e473c88b100d6c54f052e2025-02-09T12:06:49ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112910.1007/JHEP01(2025)189The massless S-matrix of integrable σ-modelsGeorge GeorgiouAbstract 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. Our definition works for the large class of σ-models with one or more isometries. As an example, we present in detail the case of the SU(2) principal chiral model (PCM).https://doi.org/10.1007/JHEP01(2025)189Integrable Field TheoriesSigma ModelsField Theories in Lower DimensionsScattering Amplitudes |
| spellingShingle | George Georgiou The massless S-matrix of integrable σ-models Journal of High Energy Physics Integrable Field Theories Sigma Models Field Theories in Lower Dimensions Scattering Amplitudes |
| title | The massless S-matrix of integrable σ-models |
| title_full | The massless S-matrix of integrable σ-models |
| title_fullStr | The massless S-matrix of integrable σ-models |
| title_full_unstemmed | The massless S-matrix of integrable σ-models |
| title_short | The massless S-matrix of integrable σ-models |
| title_sort | massless s matrix of integrable σ models |
| topic | Integrable Field Theories Sigma Models Field Theories in Lower Dimensions Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP01(2025)189 |
| work_keys_str_mv | AT georgegeorgiou themasslesssmatrixofintegrablesmodels AT georgegeorgiou masslesssmatrixofintegrablesmodels |