1997/02/05 by Yuri N. Obukhov, Eckehard W. Mielke, Jan Budczies +1 · 1 citation
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1007/bf02551525
published as Found.Phys. 27 (1997) 1221-1236 · 18 pages, RevTeX
arxiv created 1997/02/05 · arxiv updated 2009/11/30
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.