6533b82afe1ef96bd128b984
RESEARCH PRODUCT
Comment on “Topological invariants, instantons, and the chiral anomaly on spaces with torsion”
Dirk KreimerEckehard W. Mielkesubject
High Energy Physics - TheoryPhysicsChiral anomalyNuclear and High Energy PhysicsInstantonFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Renormalization groupWedge (geometry)General Relativity and Quantum CosmologyHigh Energy Physics - Theory (hep-th)Quantum mechanicsLinear formTorsion (algebra)Topological invariantsMathematical physicsdescription
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)].
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-04-27 | Physical Review D |