Relativistic Corrections to the Aharonov-Bohm Scattering

Details Relativistic Corrections to the Aharonov-Bohm Scattering Relativistic Corrections to the Aharonov-Bohm Scattering

1996-11-05

arxiv.org/abs/hep-th/9611027v1

Phys.Lett. A236 (1997) 373-382

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 5 figures, revtex

Scientific paper

10.1016/S0375-9601(97)00831-1

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.

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