Noninvertible Peccei-Quinn Symmetry and the Massless Quark Solution to the Strong CP Problem
We consider theories of gauged quark flavor and identify noninvertible Peccei-Quinn symmetries arising from fractional instantons when the resulting gauge group has nontrivial global structure. Such symmetries exist solely because the standard model has the same number of generations as colors, N_{g...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-07-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.15.031011 |
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| _version_ | 1850119093604057088 |
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| author | Clay Córdova Sungwoo Hong Seth Koren |
| author_facet | Clay Córdova Sungwoo Hong Seth Koren |
| author_sort | Clay Córdova |
| collection | DOAJ |
| description | We consider theories of gauged quark flavor and identify noninvertible Peccei-Quinn symmetries arising from fractional instantons when the resulting gauge group has nontrivial global structure. Such symmetries exist solely because the standard model has the same number of generations as colors, N_{g}=N_{c}, which leads to a massless down-type quark solution to the strong CP problem in an ultraviolet SU(9) theory of quark color-flavor unification. We show how the Cabibbo-Kobayashi-Maskawa flavor structure and weak CP violation can be generated without upsetting our solution. |
| format | Article |
| id | doaj-art-86ca4ca3566c49e78e10a9bb8b9519aa |
| institution | OA Journals |
| issn | 2160-3308 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj-art-86ca4ca3566c49e78e10a9bb8b9519aa2025-08-20T02:35:43ZengAmerican Physical SocietyPhysical Review X2160-33082025-07-0115303101110.1103/PhysRevX.15.031011Noninvertible Peccei-Quinn Symmetry and the Massless Quark Solution to the Strong CP ProblemClay CórdovaSungwoo HongSeth KorenWe consider theories of gauged quark flavor and identify noninvertible Peccei-Quinn symmetries arising from fractional instantons when the resulting gauge group has nontrivial global structure. Such symmetries exist solely because the standard model has the same number of generations as colors, N_{g}=N_{c}, which leads to a massless down-type quark solution to the strong CP problem in an ultraviolet SU(9) theory of quark color-flavor unification. We show how the Cabibbo-Kobayashi-Maskawa flavor structure and weak CP violation can be generated without upsetting our solution.http://doi.org/10.1103/PhysRevX.15.031011 |
| spellingShingle | Clay Córdova Sungwoo Hong Seth Koren Noninvertible Peccei-Quinn Symmetry and the Massless Quark Solution to the Strong CP Problem Physical Review X |
| title | Noninvertible Peccei-Quinn Symmetry and the Massless Quark Solution to the Strong CP Problem |
| title_full | Noninvertible Peccei-Quinn Symmetry and the Massless Quark Solution to the Strong CP Problem |
| title_fullStr | Noninvertible Peccei-Quinn Symmetry and the Massless Quark Solution to the Strong CP Problem |
| title_full_unstemmed | Noninvertible Peccei-Quinn Symmetry and the Massless Quark Solution to the Strong CP Problem |
| title_short | Noninvertible Peccei-Quinn Symmetry and the Massless Quark Solution to the Strong CP Problem |
| title_sort | noninvertible peccei quinn symmetry and the massless quark solution to the strong cp problem |
| url | http://doi.org/10.1103/PhysRevX.15.031011 |
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