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Nonlocal Anomaly of the Axial-Vector Current for Bound States
2002
Physical Review Letters
We demonstrate that the amplitude <ργ|∂_ν (q̅γ_νγ_5 q)|0> does not vanish in the limit of zero quark masses. This represents a new kind of violation of the classical equation of motion for the axial current and should be interpreted as the axial anomaly for bound states. The anomaly emerges in spite of the fact that the one loop integrals are ultraviolet-finite as guaranteed by the presence of the bound-state wave function. As a result, the amplitude behaves like ∼ 1/p^2 in the limit of a large
doi:10.1103/physrevlett.88.151601
pmid:11955187
fatcat:ph3nnifsnzdvpevpinerxlx3oe