# Compatibility of radial, Lorenz and harmonic gauges

@article{Magliaro2007CompatibilityOR, title={Compatibility of radial, Lorenz and harmonic gauges}, author={Elena Magliaro and Claudio Perini and Carlo Rovelli}, journal={Physical Review D}, year={2007}, volume={76}, pages={084013} }

We observe that the radial gauge can be consistently imposed on-shell together with the Lorenz gauge in Maxwell theory and with the harmonic traceless gauge in linearized general relativity. This simple observation has relevance for some recent developments in quantum gravity where, as we argue, the radial gauge is implicitly utilized.

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## References

SHOWING 1-10 OF 15 REFERENCES

### The Radial Gauge Propagators in Quantum Gravity

- Physics
- 1992

Abstract We give a general procedure for extracting the propagators in gauge theories in the presence of a sharp gauge fixing and we apply it to derive the propagators in quantum gravity in the…

### Feynman rules in radial gauge

- Physics
- 1996

We present a complete set of Feynman rules for non-Abelian gauge fields obeying the radial (Fock-Schwinger) gauge condition and prove the consistency with covariant gauge Feynman rules.

### Radial propagators and Wilson loops.

- PhysicsPhysical review. D, Particles and fields
- 1996

We present a relation which connects the propagator in the radial (Fock-Schwinger) gauge with a gauge-invariant Wilson loop. It is closely related to the well-known field strength formula and can be…

### Graviton propagator from background-independent quantum gravity.

- PhysicsPhysical review letters
- 2006

A component of the propagator is computed to first order, under some approximations, obtaining the correct large-distance behavior, indicating a way for deriving conventional spacetime quantities from a background-independent theory.

### A Review of Leading Quantum Gravitational Corrections to Newtonian Gravity

- Physics
- 2006

In this review we present the theoretical background for treating General Relativity as an effective field theory and focus on the concrete results of such a treatment. As a result we present the…

### What is Quantum Theory of Gravity

- Physics
- 2004

We present a line by line derivation of canonical quantum mechanics stemming from the compatibility of the statistical geometry of distinguishable observations with the canonical Poisson structure of…

### Graviton propagator in loop quantum gravity

- Physics, GeologyClassical and Quantum Gravity
- 2006

We compute some components of the graviton propagator in loop quantum gravity, using the spinfoam formalism, up to some second-order terms in the expansion parameter.

### On gauge invariance and vacuum polarization

- Physics
- 1951

This paper is based on the elementary remark that the extraction of gauge invariant results from a formally gauge invariant theory is ensured if one employs methods of solution that involve only…

### Group Integral Techniques for the Spinfoam Graviton Propagator

- Physics
- 2006

We consider the recent proposal [1] for the extraction of the graviton propagator from the spinfoam formalism. We propose a new ansatz for the boundary state, using which we can write the propagator…

### The propagator in the radial gauge

- Physics, Mathematics
- 1992

The solutions of the equation for the propagator in the radial gauge xμ Aμ(x) = 0 are studied. After finding a particular solution Γμρ(x,y), the most general solution G0μρ(x,y) of the homogeneous…