Confinement, Vacuum Structure: from QCD to Quantum Gravity

TL;DR

This paper proposes a Lorentz gauge gravity model with R^2 Lagrangian, exploring its topological phase and dynamical degrees of freedom, drawing an analogy with quantum chromodynamics to inform quantum gravity theories.

Contribution

It introduces a minimal Lorentz gauge gravity model with R^2 terms, analyzing its topological phase and torsion dynamics, and draws parallels with QCD structure.

Findings

The model admits a topological phase with unfixed metric.

Torsion has the same number of dynamical degrees of freedom as the metric.

Analogies between QCD and quantum gravity structures are established.

Abstract

A minimal Lorentz gauge gravity model with R^2-type Lagrangian is proposed. In the absence of torsion the model admits a topological phase with unfixed metric. The model possesses a minimal set of dynamical degrees of freedom for the torsion. Remarkably, the torsion has the same number of dynamical of-shell degrees of freedom as the metric tensor. We trace an analogy between the structure of the quantum chromodynamics and the structure of possible theory of quantum gravity.