On the Nonabelian Aharonov Bohm Scattering of Spinless Particles

Abstract

The Aharonov Bohm scattering for spinless, isospin 1/2, particles interacting through a nonabelian Chern-Simons field is studied. Starting from the relativistic quantum field theory and using a Coulomb gauge formulation, the one loop renormalization program is implemented. Through the introduction of an intermediary cutoff, separating the regions of high and low integration momentum, the nonrelativistic limit is derived. The next to leading relativistic approximation is also determined. In this approach quantum field theory vacuum polarization effects are automatically incorporated.

20 pages, 8 figures, revtex. Misspelled reference corrected and new references added

References in corpus (3)

• 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

Cited by in corpus (5)

• Noncommutative Correction to the Aharonov-Bohm Scattering: a Field Theory Approach
• Noncommutative Field Theory: Nonrelativistic Fermionic Field Coupled to the Chern-Simons Field in 2+1 Dimensions
• Radiative Corrections to the Aharonov-Bohm Scattering
• Non-Abelian Aharonov-Bohm Scattering of Spin 1/2 Particles
• On spin-1 massive particles coupled to a Chern-Simons field