Fundamental quantities of QCD, such as the strong coupling and $\Lambda_{ QCD}$, are studied in the framework of lattice QCD with $N_f=2$ twisted mass fermions. In particular, the contact between lattice and continuous calculations is made by comparing the renormalized ghost-gluon vertex in MOM scheme with 4-loop perturbative results. A power correction is needed in order to have agreement between the two descriptions. This suggests the presence of a dimension-two $\VEV{ A^2}$ gluon condensate whose value is found to be higher than in the quanched case.

Categories: hep-lat

$\Lambda_{QCD}$ from gluon and ghost propagators