Sum rules & Tauberian theorems at finite temperature
We study CFTs at finite temperature and derive explicit sum rules for one-point functions of operators by imposing the KMS condition and we explicitly estimate one-point functions for light operators. Turning to heavy operators we employ Tauberian theorems and compute the asymptotic OPE density for...
| Príomhchruthaitheoirí: | , , |
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| Formáid: | Journal article |
| Teanga: | English |
| Foilsithe / Cruthaithe: |
Springer
2024
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| _version_ | 1826314541576749056 |
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| author | Marchetto, E Miscioscia, A Pomoni, E |
| author_facet | Marchetto, E Miscioscia, A Pomoni, E |
| author_sort | Marchetto, E |
| collection | OXFORD |
| description | We study CFTs at finite temperature and derive explicit sum rules for one-point functions of operators by imposing the KMS condition and we explicitly estimate 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. |
| first_indexed | 2024-09-25T04:34:04Z |
| format | Journal article |
| id | oxford-uuid:cb6fd29c-1d06-4be3-89f8-9304dad20ef3 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-09-25T04:34:04Z |
| publishDate | 2024 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:cb6fd29c-1d06-4be3-89f8-9304dad20ef32024-09-10T20:07:35ZSum rules & Tauberian theorems at finite temperatureJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:cb6fd29c-1d06-4be3-89f8-9304dad20ef3EnglishJisc Publications RouterSpringer2024Marchetto, EMiscioscia, APomoni, EWe study CFTs at finite temperature and derive explicit sum rules for one-point functions of operators by imposing the KMS condition and we explicitly estimate 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. |
| spellingShingle | Marchetto, E Miscioscia, A Pomoni, E Sum rules & Tauberian theorems at finite temperature |
| title | Sum rules & Tauberian theorems at finite temperature |
| title_full | Sum rules & Tauberian theorems at finite temperature |
| title_fullStr | Sum rules & Tauberian theorems at finite temperature |
| title_full_unstemmed | Sum rules & Tauberian theorems at finite temperature |
| title_short | Sum rules & Tauberian theorems at finite temperature |
| title_sort | sum rules tauberian theorems at finite temperature |
| work_keys_str_mv | AT marchettoe sumrulestauberiantheoremsatfinitetemperature AT misciosciaa sumrulestauberiantheoremsatfinitetemperature AT pomonie sumrulestauberiantheoremsatfinitetemperature |