Strings and Aharonov-Bohm effect in Abelian Higgs model

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

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


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.

Original languageEnglish
Pages (from-to)182-186
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1-2
StatePublished - 23 Jul 1998
Externally publishedYes


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