Models of Quantum Gravity; Gauge Symmetry; Renormalization Regularization and Renormalons
Issue Date
2015-07
Publisher
SPRINGER
Citation
JOURNAL OF HIGH ENERGY PHYSICS, NO 4, Page. 1-10
Abstract
It has been proposed in [21] 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 [21] 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.