U(1) gauge vector field on a codimension-2 brane
Abstract In this paper, we obtain a gauge invariant effective action for a bulk massless U(1) gauge vector field on a brane with codimension two by using a general Kaluza-Klein (KK) decomposition for the field. It suggests that there exist two types of scalar KK modes to keep the gauge invariance of...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP01(2019)021 |
| _version_ | 1819200070568902656 |
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| author | Chun-E Fu Yuan Zhong Yu-Xiao Liu |
| author_facet | Chun-E Fu Yuan Zhong Yu-Xiao Liu |
| author_sort | Chun-E Fu |
| collection | DOAJ |
| description | Abstract In this paper, we obtain a gauge invariant effective action for a bulk massless U(1) gauge vector field on a brane with codimension two by using a general Kaluza-Klein (KK) decomposition for the field. It suggests that there exist two types of scalar KK modes to keep the gauge invariance of the action for the massive vector KK modes. Both the vector and scalar KK modes can be massive. The masses of the vector KK modes m (n) contain two parts, m 1 (n) and m 2 (n) , due to the existence of the two extra dimensions. The masses of the two types of scalar KK modes m ϕ (n) and m φ (n) are related to the vector ones, i.e., m ϕ (n) = m 1 (n) and m φ (n) = m 2 (n) . Moreover, we derive two Schrödinger-like equations for the vector KK modes, for which the effective potentials are just the functions of the warp factor. |
| first_indexed | 2024-12-23T03:26:23Z |
| format | Article |
| id | doaj.art-d0146ba6427949e9adbb8d62a96ebcb6 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-23T03:26:23Z |
| publishDate | 2019-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d0146ba6427949e9adbb8d62a96ebcb62022-12-21T18:01:51ZengSpringerOpenJournal of High Energy Physics1029-84792019-01-012019111610.1007/JHEP01(2019)021U(1) gauge vector field on a codimension-2 braneChun-E Fu0Yuan Zhong1Yu-Xiao Liu2School of Science, Xi’an Jiaotong UniversitySchool of Science, Xi’an Jiaotong UniversityInstitute of Theoretical Physics & Research Center of Gravitation, Lanzhou UniversityAbstract In this paper, we obtain a gauge invariant effective action for a bulk massless U(1) gauge vector field on a brane with codimension two by using a general Kaluza-Klein (KK) decomposition for the field. It suggests that there exist two types of scalar KK modes to keep the gauge invariance of the action for the massive vector KK modes. Both the vector and scalar KK modes can be massive. The masses of the vector KK modes m (n) contain two parts, m 1 (n) and m 2 (n) , due to the existence of the two extra dimensions. The masses of the two types of scalar KK modes m ϕ (n) and m φ (n) are related to the vector ones, i.e., m ϕ (n) = m 1 (n) and m φ (n) = m 2 (n) . Moreover, we derive two Schrödinger-like equations for the vector KK modes, for which the effective potentials are just the functions of the warp factor.http://link.springer.com/article/10.1007/JHEP01(2019)021Field Theories in Higher DimensionsSolitons Monopoles and Instantons |
| spellingShingle | Chun-E Fu Yuan Zhong Yu-Xiao Liu U(1) gauge vector field on a codimension-2 brane Journal of High Energy Physics Field Theories in Higher Dimensions Solitons Monopoles and Instantons |
| title | U(1) gauge vector field on a codimension-2 brane |
| title_full | U(1) gauge vector field on a codimension-2 brane |
| title_fullStr | U(1) gauge vector field on a codimension-2 brane |
| title_full_unstemmed | U(1) gauge vector field on a codimension-2 brane |
| title_short | U(1) gauge vector field on a codimension-2 brane |
| title_sort | u 1 gauge vector field on a codimension 2 brane |
| topic | Field Theories in Higher Dimensions Solitons Monopoles and Instantons |
| url | http://link.springer.com/article/10.1007/JHEP01(2019)021 |
| work_keys_str_mv | AT chunefu u1gaugevectorfieldonacodimension2brane AT yuanzhong u1gaugevectorfieldonacodimension2brane AT yuxiaoliu u1gaugevectorfieldonacodimension2brane |