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

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

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 expre...

Scattering amplitude in the Aharonov-Bohm gauge field.

A general expression for the scattering amplitude of nonrelativistic spinless particles in the Aharonov-Bohm gauge potential is obtained within the time independent formalism. The result is valid also in the backward and forward directions as well as for any choice of the boundary conditions on the wave function at the flux tube position. DFUB/95 6 September 1995 (1) E–mail : giacconi, soldati@...

Anomaly and Thermodynamics for 2d Spinors in the Aharonov–bohm Gauge Field

the (A-B) gauge potential being Aμ ≡ αe ǫμν xν x 1 +x 2 , where γ1 = σ1, γ2 = σ2, γ3 = iγ1γ2 = σ3, sigma’s being the Pauli matrices, ǫ12 = 1 and −1 < α < 0. As is well known the field strength is Fμν = − e ǫμνδ(x). Now let us consider the eigenvalues and eigenfunctions of the Dirac operator . The crucial point is that, in order to find a complete orthonormal basis which diagonalizes the Dirac o...

Induced Fermion Number, Phase-shift Flip, and the Axial Anomaly in the Aharonov-bohm Potential

abstract The spectral properties of the Dirac and the Klein-Gordon Hamiltonians in the the Aharonov-Bohm potential are discussed. By using the Krein-Friedel formula, the density of states (DOS) for diierent self-adjoint extensions is calculated. As in the nonrelativistic case, whenever a bound state is present in the spectrum it is always accompanied by a (anti)resonance at the energy proportio...

Normal-metal Aharonov-Bohm effect in the presence of a transverse electric field.