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

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.

Invited contribution to the special edition "Chiral Symmetry, and Restoration in Nuclear Dense Matter" to appear in Symmetry. 12 pages and 5 figures, improved discussion of vertex form factor on page 5

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