QCD condensate contributions to the effective quark potential in a covariant gauge
Ivan Schmidt (Universidad Federico Santa Maria, Chile), Jian-Jun Yang, (Universidad Federico Santa Maria, Chile, Nanjing Normal University,, China)
TL;DR
This paper investigates how QCD condensates influence the effective quark potential within covariant gauges, emphasizing gauge invariance and unitarity in the QCD vacuum and quark scattering processes.
Contribution
It demonstrates the importance of covariant gauges for gauge invariance and unitarity in calculating QCD condensate contributions to the quark potential.
Findings
Covariant gauges are essential for gauge-invariant vacuum energy density.
Effective gluon propagator yields gauge-independent quark scattering amplitude.
QCD condensate contributions significantly modify the effective one-gluon exchange potential.
Abstract
We discuss QCD condensate contributions to the gluon propagator both in the fixed-point gauge and in covariant gauges for the external QCD vacuum gluon fields with the conclusion that a covariant gauge is essential to obtain a gauge invariant QCD vacuum energy density difference and to retain the unitarity of the quark scattering amplitude. The gauge-invariant QCD condensate contributions to the effective one-gluon exchange potential are evaluated by using the effective gluon propagator which produces a gauge-independent quark scattering amplitude.
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