Torsion as a dynamic degree of freedom of quantum gravity

TL;DR

This paper develops a gauge theory of gravity incorporating torsion as a dynamic quantum degree of freedom, proposing a model where torsion's quantum nature influences gravity at high energies and induces Einstein-Hilbert dynamics.

Contribution

It introduces a gauge-theoretic model of quantum gravity with torsion as a fundamental dynamic variable, including an effective theory at the Planck scale.

Findings

Torsion can be a quantum dynamical degree of freedom in gravity.

Quantum corrections induce Einstein-Hilbert action from torsion.

A minimal Abelian projection and an effective cosmic knot theory are constructed.

Abstract

The gauge approach to gravity based on the local Lorentz group with a general independent affine connection A_{\mu cd} is developed. We consider SO(1,3) gauge theory with a Lagrangian quadratic in curvature as a simple model of quantum gravity. The torsion is proposed to represent a dynamic degree of freedom of quantum gravity at scales above the Planckian energy. The Einstein-Hilbert theory is induced as an effective theory due to quantum corrections of torsion via generating a stable gravito-magnetic condensate. We conjecture that torsion possesses an intrinsic quantum nature and can be confined. A minimal Abelian projection for the Lorentz gauge model has been constructed, and an effective theory of the cosmic knot at the Planckian scale is proposed.