Landau-gauge condensates from the quark propagator on the lattice

We compute the dimension-2 condensate $⟨A^2⟩$ and dimension-4 mixed condensate $⟨\overline{q}\mathrm{A̸}q⟩$ from the recent quenched lattice results for the quark propagator in the Landau gauge. We fit the lattice data to the Operator Product Expansion in the fiducial region $1.2\mathrm{G}\mathrm{e}\mathrm{V}\le Q\le 3\mathrm{G}\mathrm{e}\mathrm{V}$. Our result for the dynamical gluon mass at the scale of $10{\mathrm{G}\mathrm{e}\mathrm{V}}^2$ is $m_A=600–650\mathrm{M}\mathrm{e}\mathrm{V}$, in agreement with independent determinations. For the dimension-4 mixed Landau-gauge condensate we get ${\alpha }_s⟨\overline{q}g\mathrm{A̸}q⟩=(-0.11\pm 0.03){\mathrm{G}\mathrm{e}\mathrm{V}}^4$. This value is an order of magnitude larger than the $⟨G^2⟩$ gluon condensate.