Relativistic Corrections to the Aharonov-Bohm Scattering
arXiv:hep-th/9611027 · doi:10.1016/S0375-9601(97)00831-1
Abstract
We determine the |p|/m expansion of the two body scattering amplitude of the quantum theory of a Chern-Simons field minimally coupled to a scalar field with quartic self-interaction. It is shown that the existence of a critical value of the self-interaction parameter for which the 2-particle amplitude reduces to the Aharonov-Bohm one is restricted to the leading, nonrelativistic, order. The subdominant terms correspond to relativistic corrections to the Aharonov-Bohm scattering.
14 pages, 5 figures, revtex
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Cited by in corpus (10)
- Noncommutative Correction to the Aharonov-Bohm Scattering: a Field Theory Approach
- On the Nonrelativistic Limit of the Scattering of Spin One-half Particles Interacting with a Chern-Simons Field
- Deformation method for generalized Abelian Higgs-Chern-Simons models
- On the Nonabelian Aharonov Bohm Scattering of Spinless Particles
- Nonrelativistic Limit of the Scalar Chern-Simons Theory and the Aharonov-Bohm Scattering
- Radiative Corrections to the Aharonov-Bohm Scattering
- On spin-1 massive particles coupled to a Chern-Simons field
- Classical limit for the scattering of Dirac particles in a magnetic field
- Non-Abelian Aharonov-Bohm Scattering of Spin 1/2 Particles
- Relativistic scalar Aharonov-Bohm scattering