Gauge covariance of the gap equation: from the rainbow truncation to gauge symmetry constraints
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912200631779328 |
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| author | El-Bennich, Bruno |
| author_facet | El-Bennich, Bruno |
| contents | The gauge covariance of the quark gap equation is compared for three quark-gluon vertices: the bare vertex, a Ball-Chiu like vertex constrained by the corresponding Slavnov-Taylor identity, and a full vertex including the transverse components derived from transverse Slavnov-Taylor identities. The covariance properties are verified with the chiral quark condensate and the pion decay constant in the chiral limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19911 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gauge covariance of the gap equation: from the rainbow truncation to gauge symmetry constraints El-Bennich, Bruno High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory The gauge covariance of the quark gap equation is compared for three quark-gluon vertices: the bare vertex, a Ball-Chiu like vertex constrained by the corresponding Slavnov-Taylor identity, and a full vertex including the transverse components derived from transverse Slavnov-Taylor identities. The covariance properties are verified with the chiral quark condensate and the pion decay constant in the chiral limit. |
| title | Gauge covariance of the gap equation: from the rainbow truncation to gauge symmetry constraints |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2412.19911 |