The ghost condensate $⟨{\epsilon }^{abc}{\overline{c}}^b{c}^c⟩$ is considered together with the gluon condensate $⟨A_{\mu }^2⟩$ in $SU(2)$ Euclidean Yang-Mills theories quantized in the Landau gauge. The vacuum polarization ceases to be transverse due to the nonvanishing condensate $⟨{\epsilon }^{abc}{\overline{c}}^b{c}^c⟩$. The gluon propagator itself remains transverse. By polarization effects, this ghost condensate induces then a splitting in the gluon mass parameter, which is dynamically generated through $⟨A_{\mu }^2⟩$. The obtained effective masses are real when $⟨A_{\mu }^2⟩$ is included in the analysis. In the absence of $⟨A_{\mu }^2⟩$, the already known result that the ghost condensate induces effective tachyonic masses is recovered. At the one-loop level, we find that the effective diagonal mass becomes smaller than the off-diagonal one. This might serve as an indication for some kind of Abelian dominance in the Landau gauge, similar to what happens in the maximal Abelian gauge.

• Received 3 October 2005

DOI:https://doi.org/10.1103/PhysRevD.73.014001