Strings and Aharonov-Bohm effect in Abelian Higgs model

M. N. Chernodub; M. I. Polikarpov; A. I. Veselov; M. A. Zubkov

doi:10.1016/S0370-2693(98)00622-4

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.

Original language	English
Pages (from-to)	182-186
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	432
Issue number	1-2
DOIs	https://doi.org/10.1016/S0370-2693(98)00622-4
State	Published - 23 Jul 1998
Externally published	Yes

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title = "Strings and Aharonov-Bohm effect in Abelian Higgs model",

abstract = "We investigate numerically the properties of the Abrikosov-Nielsen-Olesen strings in 4D Abelian Higgs model. The fractal dimension Df 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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AU - Chernodub, M. N.

AU - Polikarpov, M. I.

AU - Veselov, A. I.

AU - Zubkov, M. A.

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N2 - We investigate numerically the properties of the Abrikosov-Nielsen-Olesen strings in 4D Abelian Higgs model. The fractal dimension Df 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.

AB - We investigate numerically the properties of the Abrikosov-Nielsen-Olesen strings in 4D Abelian Higgs model. The fractal dimension Df 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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Strings and Aharonov-Bohm effect in Abelian Higgs model

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