Scattering of spin 1/2 particles by the 2+1 dimensional noncommutative Aharonov-Bohm potential

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dc.creatorFerrari, A. F.
dc.creatorGomes, M.
dc.creatorStechhahn, C. A.
dc.date2007-08-28
dc.date.accessioned2026-07-07T10:57:15Z
dc.date.available2026-07-07T10:57:15Z
dc.descriptionIn this work we study modifications in the Aharonov-Bohm effect for relativistic spin 1/2 particles due to the noncommutativity of spacetime in $2 + 1$ dimensions. The noncommutativity gives rise to a correction to the Aharonov-Bohm potential which is highly singular at the origin, producing divergences in a perturbative expansion around the usual solution of the free Dirac equation. This problem is surmounted by using a perturbative expansion around the exact solution of the \textit{commutative} Aharonov-Bohm problem. We calculate, in this setting, the scattering amplitude and the corrections to the differential and total cross sections for a spin 1/2 particle, in the small-flux limit.
dc.description11 pages, to appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0708.3862
dc.identifierhttp://arxiv.org/abs/0708.3862
dc.identifierPhys.Rev.D76:085008,2007
dc.identifierdoi:10.1103/PhysRevD.76.085008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186690
dc.subjectHigh Energy Physics - Theory
dc.titleScattering of spin 1/2 particles by the 2+1 dimensional noncommutative Aharonov-Bohm potential
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