Quantum Theory of Strings in Abelian Higgs Model

Details Quantum Theory of Strings in Abelian Higgs Model Quantum Theory of Strings in Abelian Higgs Model

1995-05-12

arxiv.org/abs/hep-th/9505070v2

Phys.Rev.D53:2087-2095,1996

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX

Scientific paper

10.1103/PhysRevD.53.2087

Starting from the Abelian Higgs field theory, we construct the theory of quantum Abrikosov--Nielsen--Olesen strings. It is shown that in four space -- time dimensions in the limit of infinitely thin strings, the conformal anomaly is absent, and the quantum theory exists. We also study an analogue of the Aharonov--Bohm effect: the corresponding topological interaction is proportional to the linking number of the string world sheet 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.

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