From the Einstein-Cartan to the Ashtekar-Barbero canonical constraints, passing through the Nieh-Yan functional

Abstract

The Ashtekar-Barbero constraints for General Relativity with fermions are derived from the Einstein-Cartan canonical theory rescaling the state functional of the gravity-spinor coupled system by the exponential of the Nieh-Yan functional. A one parameter quantization ambiguity naturally appears and can be associated with the Immirzi parameter.

Minor changes, two references added, accepted for publication in Phys. Rev. D

References in corpus (2)

• Quantum Nature of the Big Bang: Improved dynamics
• Origin of the Immirzi Parameter

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