2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/193307The 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. DGeneral Relativity and Quantum Cosmologytext