Mass spectrum in a six-dimensional SU(n) gauge theory on a magnetized torus
Abstract We examine six-dimensional SU(n) gauge theories compactified on a two-dimensional torus with a constant magnetic flux background to obtain a comprehensive low-energy mass spectrum. We introduce general background configurations including the magnetic flux and continuous Wilson line phases,...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2023)083 |
| _version_ | 1797647417227608064 |
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| author | Kentaro Kojima Yuri Okubo Carolina Sayuri Takeda |
| author_facet | Kentaro Kojima Yuri Okubo Carolina Sayuri Takeda |
| author_sort | Kentaro Kojima |
| collection | DOAJ |
| description | Abstract We examine six-dimensional SU(n) gauge theories compactified on a two-dimensional torus with a constant magnetic flux background to obtain a comprehensive low-energy mass spectrum. We introduce general background configurations including the magnetic flux and continuous Wilson line phases, consistent with classical equations of motion. Under the standard gauge fixing procedure, the complete mass spectrum in low-energy effective theory for the SU(n) case is newly presented without imposing restrictions on the gauge fixing parameter. Our analysis confirms the inevitable existence of tachyonic modes, which neither depend on the background configurations of Wilson line phases nor are affected by the gauge fixing parameter. Masses for some low-energy modes exhibit dependence on the gauge fixing parameter, and these modes are identified as would-be Goldstone bosons that are absorbed by massive four-dimensional vector fields. We discuss the phenomenological implications associated with stabilization or condensation of the tachyonic states. Various mass spectra and symmetry-breaking patterns are expected with flux backgrounds in the SU(n) case. They are helpful for constructing phenomenologically viable models beyond the standard model, such as gauge-Higgs unification and grand unified theories. |
| first_indexed | 2024-03-11T15:17:01Z |
| format | Article |
| id | doaj.art-9b33c1e6926448e3955686e233c522bb |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:17:01Z |
| publishDate | 2023-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-9b33c1e6926448e3955686e233c522bb2023-10-29T12:11:46ZengSpringerOpenJournal of High Energy Physics1029-84792023-08-012023813310.1007/JHEP08(2023)083Mass spectrum in a six-dimensional SU(n) gauge theory on a magnetized torusKentaro Kojima0Yuri Okubo1Carolina Sayuri Takeda2Faculty of Arts and Science, Kyushu UniversityGraduate School of Science, Kyushu UniversityGraduate School of Science, Kyushu UniversityAbstract We examine six-dimensional SU(n) gauge theories compactified on a two-dimensional torus with a constant magnetic flux background to obtain a comprehensive low-energy mass spectrum. We introduce general background configurations including the magnetic flux and continuous Wilson line phases, consistent with classical equations of motion. Under the standard gauge fixing procedure, the complete mass spectrum in low-energy effective theory for the SU(n) case is newly presented without imposing restrictions on the gauge fixing parameter. Our analysis confirms the inevitable existence of tachyonic modes, which neither depend on the background configurations of Wilson line phases nor are affected by the gauge fixing parameter. Masses for some low-energy modes exhibit dependence on the gauge fixing parameter, and these modes are identified as would-be Goldstone bosons that are absorbed by massive four-dimensional vector fields. We discuss the phenomenological implications associated with stabilization or condensation of the tachyonic states. Various mass spectra and symmetry-breaking patterns are expected with flux backgrounds in the SU(n) case. They are helpful for constructing phenomenologically viable models beyond the standard model, such as gauge-Higgs unification and grand unified theories.https://doi.org/10.1007/JHEP08(2023)083Extra DimensionsField Theories in Higher DimensionsGrand UnificationFlux Compactifications |
| spellingShingle | Kentaro Kojima Yuri Okubo Carolina Sayuri Takeda Mass spectrum in a six-dimensional SU(n) gauge theory on a magnetized torus Journal of High Energy Physics Extra Dimensions Field Theories in Higher Dimensions Grand Unification Flux Compactifications |
| title | Mass spectrum in a six-dimensional SU(n) gauge theory on a magnetized torus |
| title_full | Mass spectrum in a six-dimensional SU(n) gauge theory on a magnetized torus |
| title_fullStr | Mass spectrum in a six-dimensional SU(n) gauge theory on a magnetized torus |
| title_full_unstemmed | Mass spectrum in a six-dimensional SU(n) gauge theory on a magnetized torus |
| title_short | Mass spectrum in a six-dimensional SU(n) gauge theory on a magnetized torus |
| title_sort | mass spectrum in a six dimensional su n gauge theory on a magnetized torus |
| topic | Extra Dimensions Field Theories in Higher Dimensions Grand Unification Flux Compactifications |
| url | https://doi.org/10.1007/JHEP08(2023)083 |
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