On the chiral anomaly in non-Riemannian spacetimes

Details On the chiral anomaly in non-Riemannian spacetimes On the chiral anomaly in non-Riemannian spacetimes

1997-02-05

arxiv.org/abs/gr-qc/9702011v1

Found.Phys. 27 (1997) 1221-1236

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, RevTeX

Scientific paper

10.1007/BF02551525

The translational Chern-Simons type three-form coframe torsion on a Riemann-Cartan spacetime is related (by differentiation) to the Nieh-Yan four-form. Following Chandia and Zanelli, two spaces with non-trivial translational Chern-Simons forms are discussed. We then demonstrate, firstly within the classical Einstein-Cartan-Dirac theory and secondly in the quantum heat kernel approach to the Dirac operator, how the Nieh-Yan form surfaces in both contexts, in contrast to what has been assumed previously.

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