Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-06-08
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.
Giacconi Paola
Ouvry Stéphane
Soldati Roberto
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