Boost symmetry in the Quantum Gravity sector

TL;DR

This paper presents a canonical quantization of gravity using a 4-bein formulation that preserves boost invariance, showing that boost symmetry remains unaffected by the quantization process.

Contribution

It introduces a second-order formulation of quantum gravity with a 4-bein that maintains Lorentz boost invariance without fixing the Lorentz frame.

Findings

Boost invariance is preserved in the quantization process.

Quantization does not affect the Lorentz boost symmetry.

The approach does not require gauge fixing or frame fixing.

Abstract

We perform a canonical quantization of gravity in a second-order formulation, taking as configuration variables those describing a 4-bein, not adapted to the space-time splitting. We outline how, neither if we fix the Lorentz frame before quantizing, nor if we perform no gauge fixing at all, is invariance under boost transformations affected by the quantization.