Axial anomaly in the presence of the Aharonov-Bohm gauge field

Journal Article · Sat Oct 15 04:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.5358· OSTI ID:6909889

Giacconi, P ^[1]; Ouvry, S ^[2]; Soldati, R ^[1]

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1. Dipartimento di Fisica A. Righi'' Bologna, Sezione I.N.F.N. Bologna (Italy)
2. Division de Physique Theorique IPN.F-91406 Orsay (France) LPTPE, Universite Pierre et Marie Curie F-75252, Paris (France)

We investigate on the plane the axial anomaly for Euclidean Dirac fermions in the presence of a background Aharonov-Bohm gauge potential. The nonperturbative 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 vector 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.

• OSTI ID: 6909889
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:8; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AHARONOV-BOHM EFFECT
ALGEBRAIC CURRENTS
AXIAL-VECTOR CURRENTS
CURRENTS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EQUATIONS
FERMIONS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
QUANTUM MECHANICS
WAVE EQUATIONS