On the chiral anomaly in non-Riemannian spacetimes
General Relativity and Quantum Cosmology
2009-10-30 v1
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/9702011,
title = {On the chiral anomaly in non-Riemannian spacetimes},
author = {Yuri N. Obukhov and Eckehard W. Mielke and Jan Budczies and Friedrich W. Hehl},
journal= {arXiv preprint arXiv:gr-qc/9702011},
year = {2009}
}
Comments
18 pages, RevTeX