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

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

2007-07-31

arxiv.org/abs/0708.0037v3

Phys.Rev.D77:024036,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.77.024036

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.

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