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The study of Yang-Mills theories in three dimensions is an insightfulplayground to grasp important features for the four-dimensional case.Additionally, in three dimensions, the Chern-Simons term can be introduced witha mass parameter of topological nature. Quantizing such a theory in thecontinuum demands a gauge fixing which, in general, is plagued by Gribovcopies. In this work, Yang-Mills-Chern-Simons theories are quantized in themaximal Abelian gauge and the existence of infinitesimal Gribov copies is takeninto account. The elimination of copies modifies the (Abelian) gluon propagatorleading to two different phases: one in which all poles are complex and thusinterpreted as a confining phase and another where an excitation which can bepart of the physical spectrum is present.

Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge