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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.15407 |
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| _version_ | 1866929748173651968 |
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| author | Azevedo, Daniel O. R. Del Cima, Oswaldo Dias, Thadeu D. S. Franco, Daniel H. T. Pereira, Emílio D. Piguet, Olivier |
| author_facet | Azevedo, Daniel O. R. Del Cima, Oswaldo Dias, Thadeu D. S. Franco, Daniel H. T. Pereira, Emílio D. Piguet, Olivier |
| contents | It is shown how spin one vector matter fields can be coupled to a Yang-Mills theory. Such matter fields are defined as belonging to a representation $R$ of this Yang-Mills gauge algebra $\mathfrak{g}$. It is also required that these fields together with the original gauge fields be the gauge fields of an embedding total gauge algebra $\mathfrak{g}_{\rm tot}$. The existence of a physically consistent Yang-Mills action for the total algebra is finally required. These conditions are rather restrictive, as shown in some examples: non-trivial solutions may or may not exist depending on the choice of the original algebra $\mathfrak{g}$ and of the representation $R$. Some examples are shown, the case of the initial algebra $\mathfrak{g}$ = $\mathfrak{u}(1)\oplus\mathfrak{su}(2)$ being treated in more detail. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_15407 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spin One Matter Fields Azevedo, Daniel O. R. Del Cima, Oswaldo Dias, Thadeu D. S. Franco, Daniel H. T. Pereira, Emílio D. Piguet, Olivier High Energy Physics - Theory It is shown how spin one vector matter fields can be coupled to a Yang-Mills theory. Such matter fields are defined as belonging to a representation $R$ of this Yang-Mills gauge algebra $\mathfrak{g}$. It is also required that these fields together with the original gauge fields be the gauge fields of an embedding total gauge algebra $\mathfrak{g}_{\rm tot}$. The existence of a physically consistent Yang-Mills action for the total algebra is finally required. These conditions are rather restrictive, as shown in some examples: non-trivial solutions may or may not exist depending on the choice of the original algebra $\mathfrak{g}$ and of the representation $R$. Some examples are shown, the case of the initial algebra $\mathfrak{g}$ = $\mathfrak{u}(1)\oplus\mathfrak{su}(2)$ being treated in more detail. |
| title | Spin One Matter Fields |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.15407 |