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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.06159 |
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| _version_ | 1866913098749706240 |
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| author | Lemes, V. E. R. |
| author_facet | Lemes, V. E. R. |
| contents | We show that, for an $SU(2)$ gauge field (the reasoning extends trivially to $SU(N)$), spontaneous symmetry breaking changes the field cohomology. This defines a new field with cohomological properties characteristic of matter fields. Consequently, the construction of a renormalizable unitary gauge fixing, following Morse's problem of functional extremization, leads to the Gribov condition being automatically solved on-shell. This result occurs because a specific combination of fields is cohomologically matter-like and therefore free of the Gribov problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_06159 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-abelian field cohomology, its relation with spontaneous symmetry breaking and Morse's Theorem Lemes, V. E. R. High Energy Physics - Theory We show that, for an $SU(2)$ gauge field (the reasoning extends trivially to $SU(N)$), spontaneous symmetry breaking changes the field cohomology. This defines a new field with cohomological properties characteristic of matter fields. Consequently, the construction of a renormalizable unitary gauge fixing, following Morse's problem of functional extremization, leads to the Gribov condition being automatically solved on-shell. This result occurs because a specific combination of fields is cohomologically matter-like and therefore free of the Gribov problem. |
| title | Non-abelian field cohomology, its relation with spontaneous symmetry breaking and Morse's Theorem |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.06159 |