Implications of the Topological Chern-Simons mass in the Gap Equation.

In this paper, we analyze the Yang-Mills-Chern-Simon theory in the scope of Gribov formalism considering the first order in M^2 (the topological Chern-Simons mass) of the gap equation. By doing this, we show that the character of physical excitaions, i.e. real massive poles in the gluon propagator, can be trick, because there are three possible solutions for the Gribov parameter.