TRAPs, Generalisations of MZVs, Locality and Resurgence for Quantum Field Theories
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911000097193984 |
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| author | Clavier, Pierre J. |
| author_facet | Clavier, Pierre J. |
| contents | This thesis presents some mathematical results related to quantum field theory. The first chapter is dedicated to TRAPs and how they could be used to rigorously define Feynman rules. The second introduces generalisations of MZVs and study their properties. The third gives the main results of the theory of locality structures. The fourth and last chapter presents a summability result within the framework of resurgence theory. Each chapter ends with open questions and conjectures on the domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09493 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | TRAPs, Generalisations of MZVs, Locality and Resurgence for Quantum Field Theories Clavier, Pierre J. Mathematical Physics 18M85, 81T18, 11M32, 05C05, 08A55, 81T15, 40G10 This thesis presents some mathematical results related to quantum field theory. The first chapter is dedicated to TRAPs and how they could be used to rigorously define Feynman rules. The second introduces generalisations of MZVs and study their properties. The third gives the main results of the theory of locality structures. The fourth and last chapter presents a summability result within the framework of resurgence theory. Each chapter ends with open questions and conjectures on the domain. |
| title | TRAPs, Generalisations of MZVs, Locality and Resurgence for Quantum Field Theories |
| topic | Mathematical Physics 18M85, 81T18, 11M32, 05C05, 08A55, 81T15, 40G10 |
| url | https://arxiv.org/abs/2506.09493 |