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.

在本文中，我们在庞加莱规范理论的一般框架内，提出了基于均质Lorentz基团的非几何动力学量子Yang-Mills引力理论。这种处理的障碍在于，一方面，一方面，用于该目的的量规组不紧凑。另一方面，具有非紧缩群体的杨米尔理论很少是健康的，文献中仅存在少数实例。其次，尚不清楚当时空没有动力时如何解释对时空波的直接观测。我们证明了该理论是统一的，并且可以归一化为一环摄动。尽管在我们的建议中，重力没有与引力子类似的任何基本粒子相关联，但仍解释了经典的螺旋度-两个时空波。还提出了针对我们建议的场方程的五个基本精确解。我们还讨论了一些可能会歪曲提出的Yang-Mills理论的实验测试。