  The content of the present thesis is based on the papers [arXiv:1510.07886
[hep-th]][arXiv:1505.02287 [hep-th]][arXiv:1401.6303 [hep-th]][arXiv:1309.1402
[hep-th]][arXiv:1305.4155 [hep-th]][arXiv:1212.1003 [hep-th]][arXiv:1210.4734
[hep-th]] and is devoted to the study of aspects of the Gribov problem in
Euclidean Yang-Mills theories coupled to matter fields. Here, we present some,
mathematical and physical, evidences that point to the existence of a possible
interplay between the gauge sector and the matter sector, in regimes of
sufficiently ow energy (known as the infrared regime). In other words, we claim
that an effect in the vector boson sector of Nature due to strong interactions
(the Standard Model), at low energies, may be reflected in the matter sector,
in the same regime. Specifically, we propose that the Gribov horizon function
of the gauge sector may be felt by the matter field, and that it would be
described by an effective non-local mass term attached to the matter field.
Such a term seems to be dynamically generated and accounts for non-perturbative
aspects of the matter field.
