Probabilistic interpretation of quantum field theories
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917901726908416 |
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| author | Hairer, Martin |
| author_facet | Hairer, Martin |
| contents | In this note we provide a gentle introduction to the concepts and intuition behind the recent breakthrough results on the mathematically rigorous construction of a non-trivial 2D conformal field theory, namely the so-called Liouville theory. This gives us the opportunity to review Segal's axioms for conformal field theories and to discuss in some detail how the free field fits into them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14361 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Probabilistic interpretation of quantum field theories Hairer, Martin High Energy Physics - Theory Probability 81T40, 81T08 In this note we provide a gentle introduction to the concepts and intuition behind the recent breakthrough results on the mathematically rigorous construction of a non-trivial 2D conformal field theory, namely the so-called Liouville theory. This gives us the opportunity to review Segal's axioms for conformal field theories and to discuss in some detail how the free field fits into them. |
| title | Probabilistic interpretation of quantum field theories |
| topic | High Energy Physics - Theory Probability 81T40, 81T08 |
| url | https://arxiv.org/abs/2501.14361 |