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Flux tube solutions in noncommutative gauge theories

Alexios P. Polychronakos

Abstract

We derive nonperturbative classical solutions of noncommutative U(1) gauge theory, with or without a Higgs field, representing static magnetic flux tubes with arbitrary cross-section. The fields are nonperturbatively different from the vacuum in at least some region of space. The flux of these tubes is quantized in natural units. We also point out that magnetic monopole charge can be fractionized by embedding the monopoles in a constant magnetic field.

Flux tube solutions in noncommutative gauge theories

Abstract

We derive nonperturbative classical solutions of noncommutative U(1) gauge theory, with or without a Higgs field, representing static magnetic flux tubes with arbitrary cross-section. The fields are nonperturbatively different from the vacuum in at least some region of space. The flux of these tubes is quantized in natural units. We also point out that magnetic monopole charge can be fractionized by embedding the monopoles in a constant magnetic field.

Paper Structure

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