Radiative Corrections to the Aharonov-Bohm Scattering

Abstract

We consider the scattering of relativistic electrons from a thin magnetic flux tube and perturbatively calculate the order $\alpha$, radiative correction, to the first order Born approximation. We show also that the second order Born amplitude vanishes, and obtain a finite inclusive cross section for the one-body scattering which incorporates soft photon bremsstrahlung effects. Moreover, we determine the radiatively corrected Aharonov-Bohm potential and, in particular, verify that an induced magnetic field is generated outside of the flux tube.

14 pages, revtex, 3 figures

References in corpus (7)

• Bremsstrahlung of relativistic electrons in the Aharonov-Bohm potential
• On the Nonrelativistic Limit of the Scattering of Spin One-half Particles Interacting with a Chern-Simons Field
• Perturbative Expansion in the Galilean Invariant Spin One-Half Chern-Simons Field Theory
• The Low Energy Limit of the Chern-Simons Theory Coupled to Fermions
• Whirling Waves and the Aharonov-Bohm Effect for Relativistic Spinning Particles
• Nonrelativistic Limit of the Scalar Chern-Simons Theory and the Aharonov-Bohm Scattering
• On the Nonabelian Aharonov Bohm Scattering of Spinless Particles

Cited by in corpus (2)

• Effects of the fermionic vacuum polarization in QED
• Perturbative Study of Bremsstrahlung and Pair-Production by Spin-1/2 Particles in the Aharonov-Bohm Potential