A Sum Rule for Boundary Contributions to the Trace Anomaly
| Autor: | Herzog, Christopher P., Schaub, Vladimir |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP01(2022)121 |
| Popis: | In the context of boundary conformal field theory, we derive a sum rule that relates two and three point functions of the displacement operator. For four dimensional conformal field theory with a three dimensional boundary, this sum rule in turn relates the two boundary contributions to the anomaly in the trace of the stress tensor. We check our sum rule for a variety of free theories and also for a weakly interacting theory, where a free scalar in the bulk couples marginally to a generalized free field on the boundary. Comment: 38 pages, 2 figures. v2 : added references; typos corrected, minor simplifications; matches published version |
| Databáze: | arXiv |
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