Phys. Rev. D 77, 024036 (2008) [5 pages]From the Einstein-Cartan to the Ashtekar-Barbero canonical constraints, passing through the Nieh-Yan functionalReceived 18 November 2007; published 23 January 2008 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.77.024036
DOI:
10.1103/PhysRevD.77.024036
PACS:
04.20.Fy, 04.20.Gz
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