On instabilities of perturbations in some homogeneous color-electric and -magnetic backgrounds in SU(2) gauge theory
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916146669682688 |
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| author | Geetha, Divyarani C. Tranberg, Anders |
| author_facet | Geetha, Divyarani C. Tranberg, Anders |
| contents | We consider the instabilities of field perturbations around a homogeneous background color-electric and/or -magnetic field in SU(2) pure gauge theory. We investigate a number of distinct cases of background magnetic and electric fields, and compute the dispersion relations in the linearised theory, identifying stable and unstable momentum modes. In the case of a net homogeneous non-abelian B-field, we compute the non-linear (quadratic and cubic) corrections to the equation of motion, and quantify to what extent the instabilities are tempered by these non-linearities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_02859 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On instabilities of perturbations in some homogeneous color-electric and -magnetic backgrounds in SU(2) gauge theory Geetha, Divyarani C. Tranberg, Anders High Energy Physics - Phenomenology We consider the instabilities of field perturbations around a homogeneous background color-electric and/or -magnetic field in SU(2) pure gauge theory. We investigate a number of distinct cases of background magnetic and electric fields, and compute the dispersion relations in the linearised theory, identifying stable and unstable momentum modes. In the case of a net homogeneous non-abelian B-field, we compute the non-linear (quadratic and cubic) corrections to the equation of motion, and quantify to what extent the instabilities are tempered by these non-linearities. |
| title | On instabilities of perturbations in some homogeneous color-electric and -magnetic backgrounds in SU(2) gauge theory |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2403.02859 |