Recursive relations for the S-matrix of Liouville theory
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908451592994816 |
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| author | Jorjadze, George Razmadze, Lado Theisen, Stefan |
| author_facet | Jorjadze, George Razmadze, Lado Theisen, Stefan |
| contents | We analyze the relation between the vertex operators of the in and out fields in Liouville theory. This is used to derive equations for the S-matrix, from which a recursive relation for the normal symbol of the S-matrix for discrete center-of-mass momenta is obtained. Its solution is expressed as multiple contour-integrals of a generalized Dotsenko-Fateev type. This agrees with the functional integral representation of the scattering matrix of Liouville theory which we had proposed previously. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_11760 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Recursive relations for the S-matrix of Liouville theory Jorjadze, George Razmadze, Lado Theisen, Stefan High Energy Physics - Theory We analyze the relation between the vertex operators of the in and out fields in Liouville theory. This is used to derive equations for the S-matrix, from which a recursive relation for the normal symbol of the S-matrix for discrete center-of-mass momenta is obtained. Its solution is expressed as multiple contour-integrals of a generalized Dotsenko-Fateev type. This agrees with the functional integral representation of the scattering matrix of Liouville theory which we had proposed previously. |
| title | Recursive relations for the S-matrix of Liouville theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.11760 |