  In this paper, we present a non-geometrodynamic quantum Yang-Mills theory of
gravity based on the homogeneous Lorentz group within the general framework of
the Poincare gauge theories. The obstacles of this treatment are that first, on
the one hand, the gauge group that is available for this purpose is
non-compact. On the other hand, Yang-Mills theories with non-compact groups are
rarely healthy, and only a few instances exist in the literature. Second, it is
not clear how the direct observations of space-time waves can be explained when
space-time has no dynamics. We show that the theory is unitary and is
renormalizable to the one-loop perturbation. Although in our proposal, gravity
is not associated with any elementary particle analogous to the graviton,
classical helicity-two space-time waves are explained. Five essential exact
solutions to the field equations of our proposal are presented as well. We also
discuss a few experimental tests that can falsify the presented Yang-Mills
theory.
