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By introducing auxiliary fields, which by their quantum numbers vanish inperturbation theory, we relate the dynamical perturbation theory of Pagels andStokar and a successful gauged nonlocal constituent quark model to $U(N)$ gaugetheory and to QCD. This sheds light on the duality between quark models andresonance models. We then derive the effective action in the loop expansionwithout dropping cubic and quartic gluon couplings.Comment: 16 pages with 4 figures, to appear in Physical Review

Dynamical perturbation theory and the auxiliary field method