1. Spin One Matter Fields
- Author
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Azevedo, Daniel O. R., Del Cima, Oswaldo, Dias, Thadeu D. S., Franco, Daniel H. T., Pereira, Emílio D., and Piguet, Olivier
- Subjects
High Energy Physics - Theory - Abstract
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 the Yang-Mills gauge algebra $\mathfrak{g}$. It is also demanded 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 $R$. The case of the initial algebra $\mathfrak{g}$ = $\mathfrak{u}(1)\oplus\mathfrak{su}(2)$ is treated in more detail., Comment: Latex, 21 pages, 2 ancillary files: "Example_G=U1xSU2.nb" and "Example_G=U1xSU2.pdf". Added references, added commentary in the Introduction
- Published
- 2024