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

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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.
14 pages, 4 figures, minor corrections

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High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/182947

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0512289
 http://arxiv.org/abs/hep-th/0512289
 Phys.Lett.B637:344-349,2006
 doi:10.1016/j.physletb.2006.04.053

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arXiv