Operator dimension parity fractionalization
Abstract Lorentz invariant quantum field theories (QFTs) with fermions in four spacetime dimensions (4D) have a ℤ 4 symmetry provided there exists a basis of operators in the QFT where all operators have even operator dimension, d, including those with d > 4. The ℤ 4 symmetry is the extension of...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)196 |
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| _version_ | 1823863472573644800 |
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| author | Christopher W. Murphy |
| author_facet | Christopher W. Murphy |
| author_sort | Christopher W. Murphy |
| collection | DOAJ |
| description | Abstract Lorentz invariant quantum field theories (QFTs) with fermions in four spacetime dimensions (4D) have a ℤ 4 symmetry provided there exists a basis of operators in the QFT where all operators have even operator dimension, d, including those with d > 4. The ℤ 4 symmetry is the extension of operator dimension parity by fermion number parity. If the ℤ 4 is anomaly-free, such QFTs can be related to 3D topological superconductors. Additionally, imposing the ℤ 4 symmetry on the Standard Model effective field theory severely restricts the allowed processes that violate baryon and lepton numbers. |
| format | Article |
| id | doaj-art-88f5653bf0aa474ea70ae27a19cdfec5 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-88f5653bf0aa474ea70ae27a19cdfec52025-02-09T12:07:22ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025111210.1007/JHEP01(2025)196Operator dimension parity fractionalizationChristopher W. Murphy0KlaviyoAbstract Lorentz invariant quantum field theories (QFTs) with fermions in four spacetime dimensions (4D) have a ℤ 4 symmetry provided there exists a basis of operators in the QFT where all operators have even operator dimension, d, including those with d > 4. The ℤ 4 symmetry is the extension of operator dimension parity by fermion number parity. If the ℤ 4 is anomaly-free, such QFTs can be related to 3D topological superconductors. Additionally, imposing the ℤ 4 symmetry on the Standard Model effective field theory severely restricts the allowed processes that violate baryon and lepton numbers.https://doi.org/10.1007/JHEP01(2025)196Discrete SymmetriesEffective Field TheoriesAnomalies in Field and String TheoriesBaryon/Lepton Number Violation |
| spellingShingle | Christopher W. Murphy Operator dimension parity fractionalization Journal of High Energy Physics Discrete Symmetries Effective Field Theories Anomalies in Field and String Theories Baryon/Lepton Number Violation |
| title | Operator dimension parity fractionalization |
| title_full | Operator dimension parity fractionalization |
| title_fullStr | Operator dimension parity fractionalization |
| title_full_unstemmed | Operator dimension parity fractionalization |
| title_short | Operator dimension parity fractionalization |
| title_sort | operator dimension parity fractionalization |
| topic | Discrete Symmetries Effective Field Theories Anomalies in Field and String Theories Baryon/Lepton Number Violation |
| url | https://doi.org/10.1007/JHEP01(2025)196 |
| work_keys_str_mv | AT christopherwmurphy operatordimensionparityfractionalization |