Lagrangian constraints and renormalization of 4D gravity
arXiv:1412.1528 · doi:10.1007/JHEP04(2015)053
Abstract
It has been proposed in \cite{Park:2014tia} 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 \cite{Park:2014tia} 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.
arXiv comment40 pages, 5 figures, minor corrections, version to appear in JHEP
References in corpus (28)
- The Dynamics of General Relativity
- Black Holes: Complementarity or Firewalls?
- The Stretched Horizon and Black Hole Complementarity
- Loop Quantum Gravity
- Better Late than Never: Information Retrieval from Black Holes
- Quantum Gravity: a Progress Report
- State-Dependent Bulk-Boundary Maps and Black Hole Complementarity
- Complementarity Is Not Enough
- A Self-consistent Model of the Black Hole Evaporation
- Nonviolent nonlocality
- Comments on black holes I: The possibility of complementarity
- Perturbative Quantum Gravity Comes of Age
- Is the firewall consistent?: Gedanken experiments on black hole complementarity and firewall proposal
- Excluding Black Hole Firewalls with Extreme Cosmic Censorship
- Evaporating Firewalls
- Passing through the Firewall
- Is Alice burning or fuzzing?
- Born-Infeld Action from Supergravity
- An Uneventful Horizon in Two Dimensions
- Backdraft: String Creation in an Old Schwarzschild Black Hole
- Actions for signature change
- Measurements without Probabilities in the Final State Proposal
- Firewalls in AdS/CFT
- Indication for unsmooth horizon induced by quantum gravity interaction
- Renormalization of quantum gravity coupled with matter in three dimensions
- Canonical path integral measures for Holst and Plebanski gravity. I. Reduced Phase Space Derivation
- Freely Falling Observer and Black Hole Radiation
- The quantization of gravity in globally hyperbolic spacetimes
Cited by in corpus (13)
- Hypersurface foliation approach to renormalization of ADM formulation of gravity
- Holographic quantization of gravity in a black hole background
- Quantum-induced trans-Planckian energy near horizon
- Foliation, jet bundle and quantization of Einstein gravity
- One-loop renormalization of a gravity-scalar system
- Quantization of gravity through hypersurface foliation
- Foliation-based quantization and black hole information
- Reduction of gravity-matter and dS gravity to hypersurface
- Foliation-based approach to quantum gravity and applications to astrophysics
- 4D covariance of holographic quantization of Einstein gravity
- Revisit of renormalization of Einstein-Maxwell theory at one-loop
- Quantization of gravity and finite temperature effects
- Cosmological constant as a finite temperature effect