Wightman axiomatics of the bootstrap construction of the 1+1 dimensional Sinh-Gordon model
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915616605077504 |
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| author | Kozlowski, Karol K. Simon, Alex |
| author_facet | Kozlowski, Karol K. Simon, Alex |
| contents | The integrable bootstrap program allows one to express the tempered distributions associated with the multipoint functions of the integrable 1+1 dimensional Sinh-Gordon quantum field theory by means of explicit series. The convergence of the latter is an open problem that was only solved for the two-point case. In this work, by taking for granted the convergence of these series, we show that these expressions satisfy all of the Wightman axioms. This thus shows that, upon a yet to be proven convergence property, the integrable bootstrap based construction of correlation functions does lead to a quantum field theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_10800 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Wightman axiomatics of the bootstrap construction of the 1+1 dimensional Sinh-Gordon model Kozlowski, Karol K. Simon, Alex Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems 82B23, 81Q80, 81U15, 81T99, 81U20 The integrable bootstrap program allows one to express the tempered distributions associated with the multipoint functions of the integrable 1+1 dimensional Sinh-Gordon quantum field theory by means of explicit series. The convergence of the latter is an open problem that was only solved for the two-point case. In this work, by taking for granted the convergence of these series, we show that these expressions satisfy all of the Wightman axioms. This thus shows that, upon a yet to be proven convergence property, the integrable bootstrap based construction of correlation functions does lead to a quantum field theory. |
| title | Wightman axiomatics of the bootstrap construction of the 1+1 dimensional Sinh-Gordon model |
| topic | Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems 82B23, 81Q80, 81U15, 81T99, 81U20 |
| url | https://arxiv.org/abs/2511.10800 |