{"title":"不可逆Peccei-Quinn对称和强CP问题的无质量夸克解","authors":"Clay Córdova, Sungwoo Hong, Seth Koren","doi":"10.1103/physrevx.15.031011","DOIUrl":null,"url":null,"abstract":"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</a:mi>g</a:mi></a:msub>=</a:mo>N</a:mi>c</a:mi></a:msub></a:math>, which leads to a massless down-type quark solution to the strong <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mi>C</c:mi><c:mi>P</c:mi></c:math> problem in an ultraviolet <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:mi>S</e:mi><e:mi>U</e:mi><e:mo stretchy=\"false\">(</e:mo><e:mn>9</e:mn><e:mo stretchy=\"false\">)</e:mo></e:math> theory of quark color-flavor unification. We show how the Cabibbo-Kobayashi-Maskawa flavor structure and weak <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:mi>C</i:mi><i:mi>P</i:mi></i:math> violation can be generated without upsetting our solution. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20161,"journal":{"name":"Physical Review X","volume":"51 1","pages":""},"PeriodicalIF":11.6000,"publicationDate":"2025-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Noninvertible Peccei-Quinn Symmetry and the Massless Quark Solution to the Strong CP Problem\",\"authors\":\"Clay Córdova, Sungwoo Hong, Seth Koren\",\"doi\":\"10.1103/physrevx.15.031011\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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</a:mi>g</a:mi></a:msub>=</a:mo>N</a:mi>c</a:mi></a:msub></a:math>, which leads to a massless down-type quark solution to the strong <c:math xmlns:c=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><c:mi>C</c:mi><c:mi>P</c:mi></c:math> problem in an ultraviolet <e:math xmlns:e=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><e:mi>S</e:mi><e:mi>U</e:mi><e:mo stretchy=\\\"false\\\">(</e:mo><e:mn>9</e:mn><e:mo stretchy=\\\"false\\\">)</e:mo></e:math> theory of quark color-flavor unification. We show how the Cabibbo-Kobayashi-Maskawa flavor structure and weak <i:math xmlns:i=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><i:mi>C</i:mi><i:mi>P</i:mi></i:math> violation can be generated without upsetting our solution. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>\",\"PeriodicalId\":20161,\"journal\":{\"name\":\"Physical Review X\",\"volume\":\"51 1\",\"pages\":\"\"},\"PeriodicalIF\":11.6000,\"publicationDate\":\"2025-07-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical Review X\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/physrevx.15.031011\",\"RegionNum\":1,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review X","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevx.15.031011","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
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, Ng=Nc, 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. Published by the American Physical Society2025
期刊介绍:
Physical Review X (PRX) stands as an exclusively online, fully open-access journal, emphasizing innovation, quality, and enduring impact in the scientific content it disseminates. Devoted to showcasing a curated selection of papers from pure, applied, and interdisciplinary physics, PRX aims to feature work with the potential to shape current and future research while leaving a lasting and profound impact in their respective fields. Encompassing the entire spectrum of physics subject areas, PRX places a special focus on groundbreaking interdisciplinary research with broad-reaching influence.