Perturbative stability of non-Abelian electric field solutions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915218265735168 |
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| author | Pereira, Jude Vachaspati, Tanmay |
| author_facet | Pereira, Jude Vachaspati, Tanmay |
| contents | We consider SU(2) gauge theory with a scalar field in the fundamental representation. The model is known to contain electric field solutions sourced by the scalar field that are distinct from embedded Maxwell electric fields. We examine the perturbative stability of the solution and identify a region of parameter space where the solution is stable. In the regime where the scalar field has a negative mass squared, the solution has two branches and we identify an instability in one of the branches. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05458 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Perturbative stability of non-Abelian electric field solutions Pereira, Jude Vachaspati, Tanmay High Energy Physics - Theory High Energy Physics - Phenomenology We consider SU(2) gauge theory with a scalar field in the fundamental representation. The model is known to contain electric field solutions sourced by the scalar field that are distinct from embedded Maxwell electric fields. We examine the perturbative stability of the solution and identify a region of parameter space where the solution is stable. In the regime where the scalar field has a negative mass squared, the solution has two branches and we identify an instability in one of the branches. |
| title | Perturbative stability of non-Abelian electric field solutions |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2412.05458 |