Vortex solutions in the noncommutative torus

Details Vortex solutions in the noncommutative torus Vortex solutions in the noncommutative torus

2006-06-11

arxiv.org/abs/hep-th/0606099v1

JHEP 0609:044,2006

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 5 figures

Scientific paper

10.1088/1126-6708/2006/09/044

Vortex configurations in the two-dimensional torus are considered in noncommutative space. We analyze the BPS equations of the Abelian Higgs model. Numerical solutions are constructed for the self-dual and anti-self dual cases by extending an algorithm originally developed for ordinary commutative space. We work within the Fock space approach to noncommutative theories and the Moyal-Weyl connection is used in the final stage to express the solutions in configuration space.

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