One-loop β-functions in 4-derivative gauge theory in 6 dimensions
Abstract A classically scale-invariant 6d analog of the 4d Yang-Mills theory is the 4-derivative (∇F )2 + F 3 gauge theory with two independent couplings. Motivated by a search for a perturbatively conformal but possibly non-unitary 6d models we compute the one-loop β-functions in this theory. A sys...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2019)159 |
| _version_ | 1818246713985466368 |
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| author | Lorenzo Casarin Arkady A. Tseytlin |
| author_facet | Lorenzo Casarin Arkady A. Tseytlin |
| author_sort | Lorenzo Casarin |
| collection | DOAJ |
| description | Abstract A classically scale-invariant 6d analog of the 4d Yang-Mills theory is the 4-derivative (∇F )2 + F 3 gauge theory with two independent couplings. Motivated by a search for a perturbatively conformal but possibly non-unitary 6d models we compute the one-loop β-functions in this theory. A systematic way of doing this using the back-ground field method requires the (previously unknown) expression for the b6 Seeley-DeWitt coefficient for a generic 4-derivative operator; we derive it here. As an application, we also compute the one-loop β-function in the (1,0) supersymmetric (∇F )2 6d gauge theory con-structed in hep-th/0505082 . |
| first_indexed | 2024-12-12T14:53:11Z |
| format | Article |
| id | doaj.art-341208171be14ae4b2716e2e781f23b7 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T14:53:11Z |
| publishDate | 2019-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-341208171be14ae4b2716e2e781f23b72022-12-22T00:20:58ZengSpringerOpenJournal of High Energy Physics1029-84792019-08-012019811810.1007/JHEP08(2019)159One-loop β-functions in 4-derivative gauge theory in 6 dimensionsLorenzo Casarin0Arkady A. Tseytlin1Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)Blackett Laboratory, Imperial CollegeAbstract A classically scale-invariant 6d analog of the 4d Yang-Mills theory is the 4-derivative (∇F )2 + F 3 gauge theory with two independent couplings. Motivated by a search for a perturbatively conformal but possibly non-unitary 6d models we compute the one-loop β-functions in this theory. A systematic way of doing this using the back-ground field method requires the (previously unknown) expression for the b6 Seeley-DeWitt coefficient for a generic 4-derivative operator; we derive it here. As an application, we also compute the one-loop β-function in the (1,0) supersymmetric (∇F )2 6d gauge theory con-structed in hep-th/0505082 .http://link.springer.com/article/10.1007/JHEP08(2019)159Field Theories in Higher DimensionsSupersymmetric Gauge Theory |
| spellingShingle | Lorenzo Casarin Arkady A. Tseytlin One-loop β-functions in 4-derivative gauge theory in 6 dimensions Journal of High Energy Physics Field Theories in Higher Dimensions Supersymmetric Gauge Theory |
| title | One-loop β-functions in 4-derivative gauge theory in 6 dimensions |
| title_full | One-loop β-functions in 4-derivative gauge theory in 6 dimensions |
| title_fullStr | One-loop β-functions in 4-derivative gauge theory in 6 dimensions |
| title_full_unstemmed | One-loop β-functions in 4-derivative gauge theory in 6 dimensions |
| title_short | One-loop β-functions in 4-derivative gauge theory in 6 dimensions |
| title_sort | one loop β functions in 4 derivative gauge theory in 6 dimensions |
| topic | Field Theories in Higher Dimensions Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP08(2019)159 |
| work_keys_str_mv | AT lorenzocasarin oneloopbfunctionsin4derivativegaugetheoryin6dimensions AT arkadyatseytlin oneloopbfunctionsin4derivativegaugetheoryin6dimensions |