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Torsion as a dynamic degree of freedom of quantum gravity

Sang‐Woo KimSchool of Physics, College of Natural Sciences, Seoul National University, Seoul 151-742, KoreaD. G. PakCenter for Theoretical Physics, Seoul National University, Seoul 151-742, Korea
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Аннотация

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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