Non-Abelian Aharonov-Bohm Scattering of Spin 1/2 Particles

Abstract

We study the low energy regime of the scattering of two fermionic particles carrying isospin 1/2 and interacting through a non-Abelian Chern-Simons field. We calculate the one-loop scattering amplitude for both the nonrelativistic and also for the relativistic theory. In the relativistic case we introduce an intermediate cutoff, separating the regions with low and high loop momenta integration. In this procedure purely relativistic field theory effects as the vacuum polarization and anomalous magnetic moment corrections are automatically incorporated.

18 pages, 7 figures, revtex. To appear in Phys. Rev. D

References in corpus (4)

• On the Nonrelativistic Limit of the Scattering of Spin One-half Particles Interacting with a Chern-Simons Field
• The Low Energy Limit of the Chern-Simons Theory Coupled to Fermions
• On the Nonabelian Aharonov Bohm Scattering of Spinless Particles
• On spin-1 massive particles coupled to a Chern-Simons field

Cited by in corpus (1)

• Noncommutative Field Theory: Nonrelativistic Fermionic Field Coupled to the Chern-Simons Field in 2+1 Dimensions