On the electromagnetic interaction and the anomalous term in the Duffin-Kemmer-Petiau theory
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913391644246016 |
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| author | Jirón, Andrés G. Castro, Luis B. de Castro, Antonio S. Obispo, Angel E. |
| author_facet | Jirón, Andrés G. Castro, Luis B. de Castro, Antonio S. Obispo, Angel E. |
| contents | The problem of vectorial mesons embedded in an electromagnetic field via Duffin-Kemmer-Petiau (DKP) formalism is reinvestigated. Considering the electromagnetic interaction as a minimal coupling, an incorrect value $(g=1)$ is identified for the gyromagnetic factor ($g$-factor). Furthermore, it is shown that is cumbersome to find analytical solutions due to the presence of the so-called anomalous term for the spin-1 sector of the DKP theory. Suspecting that the anomalous term results from an incomplete version of the DKP equation to describe the electromagnetic interaction, we consider the addition of a non-minimal coupling. This leads to the correct $g$-factor $(g=2)$, and as a consequence, the anomalous term becomes proportional to an external four current. As an application, the DKP equation with a static uniform magnetic field is considered, yielding the corresponding Landau levels. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_11687 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the electromagnetic interaction and the anomalous term in the Duffin-Kemmer-Petiau theory Jirón, Andrés G. Castro, Luis B. de Castro, Antonio S. Obispo, Angel E. High Energy Physics - Theory Mathematical Physics Quantum Physics The problem of vectorial mesons embedded in an electromagnetic field via Duffin-Kemmer-Petiau (DKP) formalism is reinvestigated. Considering the electromagnetic interaction as a minimal coupling, an incorrect value $(g=1)$ is identified for the gyromagnetic factor ($g$-factor). Furthermore, it is shown that is cumbersome to find analytical solutions due to the presence of the so-called anomalous term for the spin-1 sector of the DKP theory. Suspecting that the anomalous term results from an incomplete version of the DKP equation to describe the electromagnetic interaction, we consider the addition of a non-minimal coupling. This leads to the correct $g$-factor $(g=2)$, and as a consequence, the anomalous term becomes proportional to an external four current. As an application, the DKP equation with a static uniform magnetic field is considered, yielding the corresponding Landau levels. |
| title | On the electromagnetic interaction and the anomalous term in the Duffin-Kemmer-Petiau theory |
| topic | High Energy Physics - Theory Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2404.11687 |