Comment on: Topological Invariants, instantons, and the chiral anomaly on spaces with torsion
Dirk Kreimer, Eckehard W. Mielke
Abstract
In Riemann-Cartan spacetimes with torsion only its axial covector piece A couples to massive Dirac fields. Using renormalization group arguments, we show that besides the familiar Riemannian term only the Pontrjagin type four-form dA dA does arise additionally in the chiral anomaly, but not the Nieh-Yan term d A, as has been claimed in a recent paper [PRD 55, 7580 (1997)].
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