Limiting fluctuations in quantum gravity to diffeomorphisms

@article{Slovick2021LimitingFI,
  title={Limiting fluctuations in quantum gravity to diffeomorphisms},
  author={Brian A. Slovick},
  journal={Modern Physics Letters A},
  year={2021}
}
  • B. Slovick
  • Published 26 August 2021
  • Physics
  • Modern Physics Letters A
Within the background field formalism of quantum gravity, I show that if the quantum fluctuations are limited to diffeomorphic gauge transformations rather than the physical degrees of freedom, as in conventional quantum field theory, all the quantum corrections vanish on shell and the effective action is equivalent to the classical action. In principle, the resulting theory is finite and unitary, and requires no renormalization. I also show that this is the unique parameterization that renders… Expand

References

SHOWING 1-10 OF 54 REFERENCES
Renormalizable asymptotically free quantum theory of gravity
Abstract We prove that higher derivative quantum gravity is asymptotically free in all essential coupling constants by the calculation of one-loop counterterms (correcting the previous result ofExpand
The unique effective action in quantum field theory
Abstract The off-mass-shell extension is ambiguous in the usual formulation of field theory. The effective action in the usual formulation depends on the choice of parametrizations and gaugeExpand
The Vilkovisky-DeWitt effective action for quantum gravity
Abstract The Vilkovisky-DeWitt effective action for gauge theories is reviewed and then discussed in the context of N-dimensional quantum gravity and quantum Kaluza-Klein theory. The formalism givesExpand
The Generalized Schwinger-Dewitt Technique in Gauge Theories and Quantum Gravity
Abstract The article contains a systematic presentation of the covariant diagrammatic technique for the effective action in gauge theories. The Schwinger-DeWitt technique is generalized and convertedExpand
Introduction to Quantum Field Theory
Quantum Field Theory arose as an attempt to unify quantum mechanics, classical fields theory, and relativity. These goals have been reached only partially and a rigorous foundation of the theory isExpand
The ultraviolet behavior of Einstein gravity
We have recently reported on a two-loop calculation showing that the S matrix of Einstein's theory of gravity contains non-renormalizable ultraviolet divergences in four dimensions. In this paper weExpand
On the one-loop finiteness of quantum gravity off mass-shell
Abstract We calculate the one-loop counter terms in quantum gravity for a two-parameter gauge using the background field technique. Gauges can be found in which the off-shell counter terms vanish andExpand
Counting ghosts in the “ghost-free” non-local gravity
In the recently proposed non-local theory of quantum gravity one can avoid massive tensor ghosts at the tree level by introducing an exponential form factor between the two Ricci tensors. We showExpand
Background field method and nonlinear gauges
Abstract We present a reformulation of the background field method for Yang-Mills type theories, based on using a superalgebra of generators of BRST and background field transformations. The newExpand
An Introduction To Quantum Field Theory
Feynman Diagrams and Quantum Electrodynamics * Invitation: Pair Production in e+e- Annihilation * The Klein-Gordon Field * The Dirac Field * Interacting Fields and Feynman Diagrams * ElementaryExpand
...
1
2
3
4
5
...