Aharonov-Bohm effect in the Abelian Higgs theory
Jul, 199513 pages
Part of Nonperturbative approaches to quantum chromodynamics. Proceedings, International Workshop, Trento, Italy, July 10-29, 1995, 183-196
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- hep-th/9510014 [hep-th]
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- ITEP-TH-8-95
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Abstract:
We study a field--theoretical analogue of the Aharonov--Bohm effect in the Abelian Higgs Model: the corresponding topological interaction is proportional to the linking number of the Abrikosov--Nielsen--Olesen string world sheets and the particle world trajectory. The creation operators of the strings are explicitly constructed in the path integral and in the Hamiltonian formulation of the theory. We show that the Aharonov--Bohm effect gives rise to several nontrivial commutation relations. We also study the Aharonov--Bohm effect in the lattice formulation of the Abelian Higgs Model. It occurs that this effect gives rise to a nontrivial interaction of tested charged particles.- talk
- gauge field theory: U(1)
- Higgs model
- path integral
- string model
- loop space
- Aharonov-Bohm effect
- Hamiltonian formalism
- numerical calculations
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