Deformations in spinor bundles: Lorentz violation and further physical implications
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866929718542991360 |
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| author | da Silva, J. M. Hoff Cavalcanti, R. T. da Rocha, G. M. Caires |
| author_facet | da Silva, J. M. Hoff Cavalcanti, R. T. da Rocha, G. M. Caires |
| contents | This paper delves into the deformation of spinor structures within nontrivial topologies and their physical implications. The deformation is modeled by introducing real functions that modify the standard spinor dynamics, leading to distinct physical regions characterized by varying degrees of Lorentz symmetry violation. It allows us to investigate the effects in the dynamical equation and a geometrized nonlinear sigma model. The findings suggest significant implications for the spinor fields in regions with nontrivial topologies, providing a robust mathematical approach to studying exotic spinor behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11168 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Deformations in spinor bundles: Lorentz violation and further physical implications da Silva, J. M. Hoff Cavalcanti, R. T. da Rocha, G. M. Caires Mathematical Physics High Energy Physics - Theory This paper delves into the deformation of spinor structures within nontrivial topologies and their physical implications. The deformation is modeled by introducing real functions that modify the standard spinor dynamics, leading to distinct physical regions characterized by varying degrees of Lorentz symmetry violation. It allows us to investigate the effects in the dynamical equation and a geometrized nonlinear sigma model. The findings suggest significant implications for the spinor fields in regions with nontrivial topologies, providing a robust mathematical approach to studying exotic spinor behavior. |
| title | Deformations in spinor bundles: Lorentz violation and further physical implications |
| topic | Mathematical Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2409.11168 |