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In this work we study the behaviour of Yang--Mills--Chern--Simons theorycoupled to a Higgs field in the fundamental representation by taking intoaccount the effects of the presence of the Gribov horizon. By analyzing theinfrared structure of the gauge field propagator, both confined and de-confinedregions can be detected. The confined region corresponds to the appearance ofcomplex poles in the propagators, while the de-confined one to the presence ofreal poles. One can move from one region to another by changing the parametersof the theory.

Chern--Simons--Yang--Mills system in presence of Gribov horizon with fundamental Higgs matter