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arXiv · hep-lat/9804002

Strings and Aharonov-Bohm Effect in Abelian Higgs Model

M. N. Chernodub·M. I. Polikarpov·A. I. Veselov·M. A. Zubkov
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Abstract

We investigate numerically the properties of the Abrikosov-Nielsen-Olesen strings in 4D abelian Higgs model. The fractal dimension D_f of the vortex strings was found to be large in the Coulomb phase and it is close to 2 in the Higgs phase. We also show that the Wilson loop for non-integer charges is correlated with the linking number of the vortex string world sheets and the test particle world trajectory. We find that this topological (Aharonov-Bohm) interaction gives the main contribution to the Wilson loop quantum average for non-integer test charges in the vicinity of the Coulomb-Higgs phase transition.

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M. N. Chernodub, M. I. Polikarpov, A. I. Veselov, M. A. Zubkov. 1998-04-02. Strings and Aharonov-Bohm Effect in Abelian Higgs Model. https://doi.org/10.1016/s0370-2693(98)00622-4

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