  From pure Yang-Mills action for the $SL(5,\mathbb{R})$ group in four
Euclidean dimensions we obtain a gravity theory in the first order formalism.
Besides the Einstein-Hilbert term, the effective gravity has a cosmological
constant term, a curvature squared term, a torsion squared term and a matter
sector. To obtain such geometrodynamical theory, asymptotic freedom and the
Gribov parameter (soft BRST symmetry breaking) are crucial. Particularly,
Newton and cosmological constant are related to these parameters and they also
run as functions of the energy scale. One-loop computations are performed and
the results are interpreted.
