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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Detalles Bibliográficos
Autores: Lozano, G.S., Marqués, D., Schaposnik, F.A.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2006
País:Argentina
Institución:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
Repositorio:Biblioteca Digital (UBA-FCEN)
Idioma:inglés
OAI Identifier:paperaa:paper_10298479_v2006_n9_p_Lozano
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10298479_v2006_n9_p_Lozano
Access Level:acceso abierto
Palabra clave:Non-Commutative Geometry
Solitons Monopoles and Instantons
Descripción
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. © SISSA 2006.