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arxiv: gr-qc/0604061 · v3 · submitted 2006-04-13 · 🌀 gr-qc

Torsion as a dynamic degree of freedom of quantum gravity

classification 🌀 gr-qc
keywords quantumgravitytheorytorsiongaugedegreedynamiceffective
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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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