Gauge and parametrization ambiguity in quantum gravity

TL;DR

This paper investigates how gauge and parametrization choices affect quantum gravity calculations, confirming that on-shell local terms remain unaffected by these ambiguities at one-loop order.

Contribution

It provides explicit one-loop calculations in arbitrary dimensions with a general metric parametrization, confirming gauge and parametrization independence of on-shell local terms.

Findings

On-shell local terms are gauge and parametrization independent

Explicit one-loop calculations performed in arbitrary dimensions

General parametrization with seven arbitrary parameters used

Abstract

The gauge and parametrization dependence is discussed in quantum gravity in an arbitrary dimension $D$. Explicit one-loop calculations are performed within the most general parametrization of quantum metric with seven arbitrary parameters. On the other hand, some of the gauge fixing parameters are fixed to make the calculations relatively simple. We confirm the general theorem stating that the on-shell local terms in the one-loop effective action are independent on the gauge and parametrization ambiguity.