Nieh-Yan Invariant and Fermions in Ashtekar-Barbero-Immirzi Formalism

Details Nieh-Yan Invariant and Fermions in Ashtekar-Barbero-Immirzi Formalism Nieh-Yan Invariant and Fermions in Ashtekar-Barbero-Immirzi Formalism

2006-10-06

arxiv.org/abs/gr-qc/0610026v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

3 pages, proceedings of the XI Marcel Grossmann meeting on Relativistic Astrophysics, July 23-29, 2006, Berlin, final version

Scientific paper

In order to introduce an interaction between gravity and fermions in the Ashtekar-Barbero-Immirzi formalism without affecting classical dynamics a non-minimal term is necessary. The non-minimal term together with the Holst modification to the Hilbert-Palatini action reconstruct the Nieh-Yan invariant. As a consequence the Immirzi parameter, differently from the minimal coupling approach, does not affect the classical dynamics, which is described by the Einstein-Cartan action.

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