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arXiv · 2410.15407

Spin One Matter Fields

Daniel O. R. Azevedo·Oswaldo Del Cima·Thadeu D. S. Dias·Daniel H. T. Franco·Emílio D. Pereira·Olivier Piguet
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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 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.

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Daniel O. R. Azevedo, Oswaldo Del Cima, Thadeu D. S. Dias, Daniel H. T. Franco, Emílio D. Pereira, Olivier Piguet. 2024-10-20. Spin One Matter Fields. https://arxiv.org/abs/2410.15407

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