Vortex solutions in the noncommutative torus

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 s...

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Autores principales: Lozano, Gustavo S., Marqués, Diego, Schaposnik, Fidel A.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2006
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/128353
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Sumario: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.