Torsion and Axial Current

Details Torsion and Axial Current Torsion and Axial Current

2008-12-02

arxiv.org/abs/0812.0428v2

ICFAI Univ. Jour. of Phys.,2,(2009),92-104

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, no figure

Scientific paper

The role of torsion and a scalar field $\phi$ in gravitation, especially, in the presence of a Dirac field in the background of a particular class of the Riemann-Cartan geometry is considered here. Recently, a Lagrangian density with Lagrange multipliers has been proposed by the author which has been obtained by picking some particular terms from the SO(4,1) Pontryagin density, where the scalar field $\phi$ causes the de Sitter connection to have the proper dimension of a gauge field. In this formalism, conserved axial vector matter current can be constructed, irrespective of any gauge choice, in any manifold having arbitrary background geometry. This current is not a Noether current.

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