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

A Non-Geometrodynamic Quantum Yang-Mills Theory of Gravity Based on the Homogeneous Lorentz Group