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. 

The Euclidean three-point function in loop and perturbative gravity

We compute the leading order of the three-point function in loop quantum gravity, using the vertex expansion of the Euclidean version of the new spin foam dynamics, in the region of γ < 1. We find

The Complete LQG propagator. II. Asymptotic behavior of the vertex

In a previous article we have shown that there are difficulties in obtaining the correct graviton propagator from the loop-quantum-gravity dynamics defined by the Barrett-Crane vertex amplitude. Here

TENSORIAL STRUCTURE OF THE LQG GRAVITON PROPAGATOR

We review the construction of the tensorial structure of the graviton propagator in the context of loop quantum gravity and spinfoam formalism. The main result of this analysis is that applying the

Background-free propagation in loop quantum gravity

I review the definition of n-point functions in loop quantum gravity, discussing what has been done and what are the main open issues. Particular attention is dedicated to gauge aspects and

Linearized dynamics from the 4-simplex Regge action

We study the relation between the Hessian matrix of the Riemannian Regge action on a 4-simplex and linearized quantum gravity. We give an explicit formula for the Hessian as a function of the

Comment on the paper by Rovelli & al. about the compatibility of various "gauge conditions"

The compatibility "demonstrated" by Rovelli & al. between various "gauge conditions" both in Classical Electromagnetism and General Relativity can be better understood if one distinguishes "gauge

Conformal basis for flat space amplitudes

We study solutions of the Klein-Gordon, Maxwell, and linearized Einstein equations in R1,d+1 that transform as d-dimensional conformal primaries under the Lorentz group SO(1,d+1). Such solutions,

LQG propagator: III. The new vertex

In the first article of this series, we pointed out a difficulty in the attempt to derive the low-energy behavior of the graviton two-point function, from the loop-quantum-gravity dynamics defined by

Implications of superrotations

Bridging Carrollian and Celestial Holography

Gravity in 4d asymptotically flat spacetime constitutes the archetypal example of a gravitational system with leaky boundary conditions. Pursuing our analysis of [1], we argue that the holographic

References

SHOWING 1-10 OF 15 REFERENCES

The Radial Gauge Propagators in Quantum Gravity

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

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.

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.

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

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

Graviton propagator in loop quantum gravity

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

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

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

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

Towards the graviton from spinfoams: the 3d toy model

Recently, a proposal has appeared for the extraction of the 2-point function of linearised quantum gravity, within the spinfoam formalism. This relies on the use of a boundary state, which introduces