Noncommutativity and the Aharonov-Bohm Effect

TL;DR

This paper explores how noncommutative space could influence the Aharonov-Bohm effect, suggesting that energy-dependent fringe pattern changes might reveal space noncommutativity in experiments.

Contribution

It introduces a theoretical analysis of noncommutative space effects on the Aharonov-Bohm phenomenon and proposes experimental signatures for detection.

Findings

Noncommutative space causes kinematical corrections to the holonomy.

Fringe pattern diffusion depends on the energy of incident electrons.

Potential observability in Tonomura-type experiments.

Abstract

The possibility of detecting noncommutive space relics is analyzed by using the Aharonov-Bohm effect. If space is non-commutative, it turns out that the holonomy receives kinematical corrections that tend to diffuse the fringe pattern. This fringe pattern has a non-trivial energy dependence and, therefore, one could observe noncommutative effects by modifying the energy of the incident electrons beam in the Tonomura experimental arrangement