Sum rules & Tauberian theorems at finite temperature
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866917760363134976 |
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| author | Marchetto, Enrico Miscioscia, Alessio Pomoni, Elli |
| author_facet | Marchetto, Enrico Miscioscia, Alessio Pomoni, Elli |
| contents | We study CFTs at finite temperature and derive explicit sum rules for one-point functions of operators by imposing the KMS condition. In the case of a large gap between light and heavy operators, we explicitly compute one-point functions for light operators. Turning to heavy operators we employ Tauberian theorems and compute the asymptotic OPE density for heavy operators, from which we extract the leading terms of the OPE coefficients associated with heavy operators. Furthermore, we approximate and establish bounds for the two-point functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13030 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Sum rules & Tauberian theorems at finite temperature Marchetto, Enrico Miscioscia, Alessio Pomoni, Elli High Energy Physics - Theory We study CFTs at finite temperature and derive explicit sum rules for one-point functions of operators by imposing the KMS condition. In the case of a large gap between light and heavy operators, we explicitly compute one-point functions for light operators. Turning to heavy operators we employ Tauberian theorems and compute the asymptotic OPE density for heavy operators, from which we extract the leading terms of the OPE coefficients associated with heavy operators. Furthermore, we approximate and establish bounds for the two-point functions. |
| title | Sum rules & Tauberian theorems at finite temperature |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.13030 |