Torsion as a dynamic degree of freedom of quantum gravity

Abstract

The gauge approach to gravity based on the local Lorentz group with a general independent affine connection A_{μcd} 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.

arXiv comment13 pages, reduced final version

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Cited by in corpus (7)

• Chern-Simons Gravity with (Curvature)${}^2$- and (Torsion)${}^2$-Terms and A Basis of Degree-of-Freedom Projection Operators
• Consistent solution of Einstein-Cartan equations with torsion outside matter
• Fermion Dynamics by Internal and Space-Time Symmetries
• On unitarity of a linearized Yang-Mills formulation for massless and massive gravity with propagating torsion
• Lorentz gauge theory as a model of emergent gravity
• Gauge gravity vacuum in constraintless Clairaut-type formalism
• Confinement, Vacuum Structure: from QCD to Quantum Gravity