A gauge theory of quantum gravity: quantization of the non-interacting field

Abstract

The non-interacting field belonging to a new SO(1,3) gauge field theory equivalent to general relativity is canonically quantized in the Lorentz gauge and the physical Fock space for non-interacting gauge particles is constructed. To assure both Lorentz covariance and positivity of the norm and energy expectation value for physical states restrictions needed in the construction of the physical Fock space are put consequentially on state vectors, and not on the algebra of creation and annihilation operators as usual—alltogether providing the second step in consistently quantizing gravitation