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A quark model with general Yang-Mills $SU_3$ symmetry leads to fourth-orderfield equations and linear confining potential. The confining gauge bosons(`confions') are treated as off-mass-shell particles and their indefiniteenergies are unobservable due to confinement. The ultraviolet divergence of themodel appears to be no worse than that of QCD by power counting. Explicitcalculations of the confion self-energy show that the usual Faddeev-Popovghosts are inadequate to restore gauge symmetry for gauge invariant Lagrangianswith higher order derivatives. `Computer experiments' with FeynCalc lead to asimple empirical method to restore the gauge invariance of the second-orderconfion self-energy with arbitrary gauge parameters. The approximate results ofthird-order vertex corrections suggest that the confining model could beasymptotically free.

Confining Quark Model with General Yang-Mills Symmetry and Inadequate Faddeev-Popov Ghost