Mellin bootstrap for scalars in generic dimension
Abstract We use the recently developed framework of the Mellin bootstrap to study perturbatively free scalar CFTs in arbitrary dimensions. This approach uses the crossing-symmetric Mellin space formulation of correlation functions to generate algebraic bootstrap equations by demanding that only phys...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP06(2018)066 |
| _version_ | 1819225090037907456 |
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| author | John Golden Daniel R. Mayerson |
| author_facet | John Golden Daniel R. Mayerson |
| author_sort | John Golden |
| collection | DOAJ |
| description | Abstract We use the recently developed framework of the Mellin bootstrap to study perturbatively free scalar CFTs in arbitrary dimensions. This approach uses the crossing-symmetric Mellin space formulation of correlation functions to generate algebraic bootstrap equations by demanding that only physical operators contribute to the OPE. We find that there are no perturbatively interacting CFTs with only fundamental scalars in d > 6 dimensions (to at least second order in the perturbation). Our results can be seen as a modest step towards understanding the space of interacting CFTs in d > 6 and are consistent with the intuition that no such CFTs exist. |
| first_indexed | 2024-12-23T10:04:04Z |
| format | Article |
| id | doaj.art-5161fb79a1eb489bb26c1b606a56a9f1 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-23T10:04:04Z |
| publishDate | 2018-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5161fb79a1eb489bb26c1b606a56a9f12022-12-21T17:51:09ZengSpringerOpenJournal of High Energy Physics1029-84792018-06-012018611810.1007/JHEP06(2018)066Mellin bootstrap for scalars in generic dimensionJohn Golden0Daniel R. Mayerson1Department of Physics and Leinweber Center for Theoretical Physics, University of MichiganDepartment of Physics and Leinweber Center for Theoretical Physics, University of MichiganAbstract We use the recently developed framework of the Mellin bootstrap to study perturbatively free scalar CFTs in arbitrary dimensions. This approach uses the crossing-symmetric Mellin space formulation of correlation functions to generate algebraic bootstrap equations by demanding that only physical operators contribute to the OPE. We find that there are no perturbatively interacting CFTs with only fundamental scalars in d > 6 dimensions (to at least second order in the perturbation). Our results can be seen as a modest step towards understanding the space of interacting CFTs in d > 6 and are consistent with the intuition that no such CFTs exist.http://link.springer.com/article/10.1007/JHEP06(2018)066Conformal Field TheoryField Theories in Higher Dimensions |
| spellingShingle | John Golden Daniel R. Mayerson Mellin bootstrap for scalars in generic dimension Journal of High Energy Physics Conformal Field Theory Field Theories in Higher Dimensions |
| title | Mellin bootstrap for scalars in generic dimension |
| title_full | Mellin bootstrap for scalars in generic dimension |
| title_fullStr | Mellin bootstrap for scalars in generic dimension |
| title_full_unstemmed | Mellin bootstrap for scalars in generic dimension |
| title_short | Mellin bootstrap for scalars in generic dimension |
| title_sort | mellin bootstrap for scalars in generic dimension |
| topic | Conformal Field Theory Field Theories in Higher Dimensions |
| url | http://link.springer.com/article/10.1007/JHEP06(2018)066 |
| work_keys_str_mv | AT johngolden mellinbootstrapforscalarsingenericdimension AT danielrmayerson mellinbootstrapforscalarsingenericdimension |