On the chiral anomaly in non-Riemannian spacetimes |
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Authors: | Yuri N. Obukhov Eckehard W. Mielke Jan Budczies Friedrich W. Hehl |
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Affiliation: | 1. Institute for Theoretical Physics, University of Cologne, D-50923, K?ln, Germany 3. Departamento de Fisica, Universidad Autónoma de Metropolitana-Iztapalapa, P.O. Box 55-534, 09340, México D.F., Mexico
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Abstract: | ![]() Thetranslation Chern-Simons type three-formcoframe∧torsion on a Riemann-Cartan spacetime is related (by differentiation) to the Nieh-Yan fourform. Following Chandia and Zanelli, two spaces with nontrivial translational Chern-Simons forms are discussed. We then demonstrate, first within the classical Einstein-Cartan-Dirac theory and second 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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