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In this work, we study the propagators of matter fields within the frameworkof the Refined Gribov-Zwanziger theory, which takes into account the effects ofthe Gribov copies in the gauge-fixing quantization procedure of Yang-Millstheory. In full analogy with the pure gluon sector of the RefinedGribov-Zwanziger action, a non-local long-range term in the inverse of theFaddeev-Popov operator is added in the matter sector. Making use of the recentBRST invariant formulation of the Gribov-Zwanziger framework achieved in [Capriet al 2016], the propagators of scalar and quark fields in the adjoint andfundamental representations of the gauge group are worked out explicitly in thelinear covariant, Curci-Ferrari and maximal Abelian gauges. Whenever latticedata are available, our results exhibit good qualitative agreement.

A non-perturbative study of matter field propagators in Euclidean Yang-Mills theory in linear covariant, Curci-Ferrari and maximal Abelian gauges