On the chiral anomaly in non-Riemannian spacetimes

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.

18 pages, RevTeX

References in corpus (2)

• Topological Invariants, Instantons and Chiral Anomaly on Spaces with Torsion
• Chiral Anomaly in Contorted Spacetimes

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