Yang-Mills theories are a very fruitful concept in quantum field theory.
Fundamental interactions and its unifications can be described with
Yang-Mills theory. However, gravity is still not modeled in the
framework of Yang-Mills theory. It is modeled in terms of the
Einstein-Hilbert action in the case of semiclassical field theory, but
ordinary quantization of the spacetime field fails due to UV
divergences. A possible approach to quantum gravity called E-gravity
theory avoids UV-divergences. Primary, this theory is based on a
spacetime discretization and the assignment of a curvature measure to
discretized spacetime. This paper shows that this approach is also a
special case of Yang-Mills theory.