Comment on: Topological Invariants, instantons, and the chiral anomaly on spaces with torsion

Details Comment on: Topological Invariants, instantons, and the chiral anomaly on spaces with torsion Comment on: Topological Invariants, instantons, and the chiral anomaly on spaces with torsion

1999-04-27

arxiv.org/abs/gr-qc/9904071v2

Phys.Rev. D63 (2001) 048501

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4p, latex, Comment to appear in Phys Rev, references updated

Scientific paper

10.1103/PhysRevD.63.048501

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 $dA\wedge dA$ does arise additionally in the chiral anomaly, but not the Nieh-Yan term $d^\star A$, as has been claimed in a recent paper [PRD 55, 7580 (1997)].

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