Aharonov-Bohm Effect on Noncommutative Plane: A Coherent State Approach

Details Aharonov-Bohm Effect on Noncommutative Plane: A Coherent State Approach Aharonov-Bohm Effect on Noncommutative Plane: A Coherent State Approach

2005-12-22

arxiv.org/abs/hep-th/0512289v3

Phys.Lett.B637:344-349,2006

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 4 figures, minor corrections

Scientific paper

10.1016/j.physletb.2006.04.053

We apply the coherent state approach to study Aharonov-Bohm effect in the field theory context. We verify that, contrarily to the commutative result, the scattering amplitude is ultraviolet finite. However, we have logarithmic singularities as the noncommutative parameter tends to zero. Thus, the inclusion of a quartic self-interaction for the scalar field is necessary to obtain a smooth commutative limit.

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