Axial Anomaly in the Presence of the Aharonov-Bohm Gauge Field

Details Axial Anomaly in the Presence of the Aharonov-Bohm Gauge Field Axial Anomaly in the Presence of the Aharonov-Bohm Gauge Field

1994-06-08

arxiv.org/abs/hep-th/9406039v1

Phys.Rev. D50 (1994) 5358-5364

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Plain.TeX, Preprint DFUB/94 - 13

Scientific paper

10.1103/PhysRevD.50.5358

We investigate on the plane the axial anomaly for euclidean Dirac fermions in the presence of a background Aharonov--Bohm gauge potential. The non perturbative analysis depends on the self--adjoint extensions of the Dirac operator and the result is shown to be influenced by the actual way of understanding the local axial current. The role of the quantum mechanical parameters involved in the expression for the axial anomaly is discussed. A derivation of the effective action by means of the stereographic projection is also considered.

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