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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2025)189 |
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| Summary: | 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). |
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| ISSN: | 1029-8479 |