%0 Journal Article %T Conservation of Gravitational Energy Momentum and Renormalizable Quantum Theory of Gravitation %A Christian Wiesendanger %J Journal of Modern Physics %P 133-152 %@ 2153-120X %D 2013 %I Scientific Research Publishing %R 10.4236/jmp.2013.48A013 %X

Viewing gravitational energy-momentum as equal by observation, but different in essence from inertial energymomentum $\"\"$ naturally leads to the gauge theory of volume-preserving diffeomorphisms of an inner Minkowski space $\"\"$ which can describe gravitation at the classical level. This theory is quantized in the path integral formalism starting with a non-covariant Hamiltonian formulation with unconstrained canonical field variables and a manifestly positive Hamiltonian. The relevant path integral measure and weight are then brought into a Lorentz- and gauge-covariant form allowing to express correlation functions—applying the De Witt-Faddeev-Popov approach—in any meaningful gauge. Next the Feynman rules are developed and the quantum effective action at one loop in a background field approach is renormalized which results in an asymptotically free theory without presence of other fields and in a theory without asymptotic freedom including the Standard Model (SM) fields. Finally the BRST apparatus is developed as preparation for the renormalizability proof to all orders and a sketch of this proof is given.

%K Path Integral Quantization %K Gauge Theory %K Volume-Preserving Diffeomorphisms %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=36100