Compatibility of radial, Lorenz and harmonic gauges

TL;DR

This paper demonstrates that the radial gauge can be simultaneously imposed with the Lorenz gauge in Maxwell theory and with the harmonic traceless gauge in linearized gravity, impacting quantum gravity research.

Contribution

It reveals the compatibility of the radial gauge with other gauges in different theories, clarifying its use in quantum gravity contexts.

Findings

Radial and Lorenz gauges are compatible in Maxwell theory.

Radial and harmonic traceless gauges are compatible in linearized gravity.

Implications for gauge choices in quantum gravity studies.

Abstract

We observe that the radial gauge can be consistently imposed \emph{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 the radial gauge is implicitly utilized.