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Vortices in U(1) noncommutative gauge fields

Vortices in U(1) noncommutative gauge fields

Charged vortex solutions for the noncommutative Maxwell-Higgs model in $3+1$ dimensions are found. We show that the stability of these vortex solutions is lost for some, large enough, noncommutativity parameters. A nontopological charge, however, is induced by noncommutative effects.