A worldline computation shows the QED anomaly-pole cancellation by the PVV triangle does not extend to QCD, and the eta-prime mechanism yields only a few percent finite-mass correction to the Shore-Veneziano relation for Delta Sigma.
Axial Couplings on the World-Line
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abstract
We construct a world-line representation for the fermionic one-loop effective action with axial and also vector, scalar, and pseudo-scalar couplings. We use this expression to compute a few selected scattering amplitudes. These allow us to verify that our method yields the same results as standard field theory. In particular, we are able to reproduce the chiral anomaly. Our starting point is the second-order formulation for the Dirac fermion. We translate the second order expressions into a world-line action.
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The role of the chiral anomaly in polarized deeply inelastic scattering III: Wess-Zumino-Witten contributions and chiral Ward identities for finite quark mass
A worldline computation shows the QED anomaly-pole cancellation by the PVV triangle does not extend to QCD, and the eta-prime mechanism yields only a few percent finite-mass correction to the Shore-Veneziano relation for Delta Sigma.