Nielsen-Olesen vortices in noncommutative space

Abstract

We construct an exact regular vortex solution to the self-dual equations of the Abelian Higgs model in non-commutative space for arbitrary values of $\theta$. To this end, we propose an ansatz which is the analogous, in Fock space, to the one leading to exact solutions for the Nielsen-Olesen vortex in commutative space. We compute the flux and energy of the solution and discuss its relevant properties.

9 pages, 1 figure, typos corrected, one reference added. To appear in Phys. Lett. B

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