Study of Yang–Mills–Chern–Simons theory in presence of the Gribov horizon

• We implement the Gribov quantization to the Topologically massive Yang–Mills theory.
• We find a modified propagator at strong coupling by the Gribov horizon.
• The gauge propagator depends on the topological mass and the coupling constant.
• By studying the gauge propagator we describe the confined–deconfined regimes.

The two-point gauge correlation function in Yang–Mills–Chern–Simons theory in three dimensional Euclidean space is analysed by taking into account the non-perturbative effects of the Gribov horizon. In this way, we are able to describe the confinement and de-confinement regimes, which naturally depend on the topological mass and on the gauge coupling constant of the theory.