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arXiv · 2412.19911

Gauge covariance of the gap equation: from the rainbow truncation to gauge symmetry constraints

Bruno El-Bennich
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Abstract

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.

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Bruno El-Bennich. 2024-12-27. Gauge covariance of the gap equation: from the rainbow truncation to gauge symmetry constraints. https://doi.org/10.3390/sym17010110

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