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.
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Park, I.Y. Lagrangian constraints and renormalization of 4D gravity. J. High Energ. Phys. 2015, 53 (2015). https://doi.org/10.1007/JHEP04(2015)053
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DOI: https://doi.org/10.1007/JHEP04(2015)053