Testing spatial noncommutativiy via the Aharonov-Bohm effect

Details Testing spatial noncommutativiy via the Aharonov-Bohm effect Testing spatial noncommutativiy via the Aharonov-Bohm effect

2002-03-27

arxiv.org/abs/hep-th/0203260v3

Phys.Rev. D66 (2002) 045018

Physics

High Energy Physics

High Energy Physics - Theory

16 pp, Revtex 4, 2 fig, new references added. To appear in PRD

Scientific paper

10.1103/PhysRevD.66.045018

The possibility of detecting noncommutative space relics is analyzed using the Aharonov-Bohm effect. We show that, if space is noncommutative, the holonomy receives non-trivial kinematical corrections that will produce a diffraction pattern even when the magnetic flux is quantized. The scattering problem is also formulated, and the differential cross section is calculated. Our results can be extrapolated to high energy physics and the bound $\theta \sim [ 10 {TeV}]^{-2}$ is found. If this bound holds, then noncommutative effects could be explored in scattering experiments measuring differential cross sections for small angles. The bound state Aharonov- Bohm effect is also discussed.

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