Models of Quantum Gravity; Gauge Symmetry; Renormalization Regularization and Renormalons
JOURNAL OF HIGH ENERGY PHYSICS, NO 4, Page. 1-10
It has been proposed in  that 4D Einstein gravity becomes effectively reduced to 3D after solving the Lagrangian analogues of the Hamiltonian and momentum constraints of the Hamiltonian quantization. The analysis in  was carried out at the classical/operator level. We review the proposal and make a transition to the path integral account. We then set the stage for explicitly carrying out the two-loop renormalization procedure of the resulting 3D action. We also address a potentially subtle issue in the gravity context concerning whether renormalizability does not depend on the background around which the original action is expanded.