Torsion as a dynamic degree of freedom of quantum gravity

Details Torsion as a dynamic degree of freedom of quantum gravity Torsion as a dynamic degree of freedom of quantum gravity

2006-04-13

arxiv.org/abs/gr-qc/0604061v3

Class.Quant.Grav.25:065011,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, reduced final version

Scientific paper

10.1088/0264-9381/25/6/065011

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.

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