The Topological Structure of Nieh-Yan Form and Chiral Anomaly in Spaces with Torsion

Details The Topological Structure of Nieh-Yan Form and Chiral Anomaly in Spaces with Torsion The Topological Structure of Nieh-Yan Form and Chiral Anomaly in Spaces with Torsion

1999-05-09

arxiv.org/abs/hep-th/9905058v3

J.Phys.A32:7153-7162,1999

Physics

High Energy Physics

High Energy Physics - Theory

Revtex, 12 pages

Scientific paper

10.1088/0305-4470/32/41/309

The topological structure of the Nieh-Yan form in 4-dimensional manifold is given by making use of the decomposition of spin connection. The case of the generalized Nieh-Yan form on $2^d$-dimensional manifold is discussed with an example of 8-dimensional case studied in detail. The chiral anomaly with nonvanishing torsion is studied also. The further contributions from torsional part to chiral anomaly are found coming from the zeroes of some fields under pure gauge condition.

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