Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Vortex solutions in the noncommutative torus |
Autor: | Lozano, G.S.; Marqués, D.; Schaposnik, F.A. |
Filiación: | Departamento de Física, FCEyN, Ciudad Universitaria, 1428, Buenos Aires, Argentina Departamento de Física, Universidad Nacional de La Plata, C.C. 67, 1900 La Plata, Argentina CONICET, Argentina CICBA, Argentina
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Palabras clave: | Non-Commutative Geometry; Solitons Monopoles and Instantons |
Año: | 2006
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Volumen: | 2006
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Número: | 9
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DOI: |
http://dx.doi.org/10.1088/1126-6708/2006/09/044 |
Título revista: | Journal of High Energy Physics
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Título revista abreviado: | J. High Energy Phys.
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ISSN: | 10298479
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PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_10298479_v2006_n9_p_Lozano.pdf |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10298479_v2006_n9_p_Lozano |
Referencias:
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- Schaposnik, F.A., Three Lectures on Noncommutative Field Theories
- Bogomol'Nyi, E.B., (1976) Sov. Jour. Nucl. Phys., 24
- Jatkar, D.P., Mandal, G., Wadia, S.R., Nielsen-Olesen vortices in noncommutative abelian Higgs model (2000) J. High Energy Phys., 2000 (9), p. 018
- Bak, D., Exact multi-vortex solutions in noncommutative abelian-Higgs theory (2000) Phys. Lett., 495 (1-2), p. 251
- Bak, D., Lee, K.-M., Park, J.-H., Noncommutative vortex solitons (2001) Phys. Rev., 63 (12), p. 125010
- Lozano, G.S., Moreno, E.F., Schaposnik, F.A., Nielsen-Olesen vortices in noncommutative space (2001) Phys. Lett., 504 (1-2), p. 117
- De Vega, H., F.a.schaposnik, (1976) Phys. Rev., 14 (4), p. 1100
- Forgacs, P., Lozano, G.S., Moreno, E.F., Schaposnik, F.A., Bogomolny equations for vortices in the noncommutative torus (2005) J. High Energy Phys., 2005 (7), p. 074
- Tong, D., The moduli space of noncommutative vortices (2003) J. Math. Phys., 44 (8), p. 3509
- Lozano, G.S., Moreno, E.F., Rodríguez, M.J., Schaposnik, F.A., Non BPS noncommutative vortices (2003) J. High Energy Phys., 2003 (11), p. 049
- Gonzalez-Arroyo, A., Ramos, A., Expansion for the solutions of the Bogomolny equations on the torus (2004) J. High Energy Phys., 2004 (7), p. 008
- Bradlow, S.B., Vortices in holomorphic line bundles over closed Kähler manifolds (1990) Comm. Math. Phys., 135 (1), p. 1
Citas:
---------- APA ----------
Lozano, G.S., Marqués, D. & Schaposnik, F.A.
(2006)
. Vortex solutions in the noncommutative torus. Journal of High Energy Physics, 2006(9).
http://dx.doi.org/10.1088/1126-6708/2006/09/044---------- CHICAGO ----------
Lozano, G.S., Marqués, D., Schaposnik, F.A.
"Vortex solutions in the noncommutative torus"
. Journal of High Energy Physics 2006, no. 9
(2006).
http://dx.doi.org/10.1088/1126-6708/2006/09/044---------- MLA ----------
Lozano, G.S., Marqués, D., Schaposnik, F.A.
"Vortex solutions in the noncommutative torus"
. Journal of High Energy Physics, vol. 2006, no. 9, 2006.
http://dx.doi.org/10.1088/1126-6708/2006/09/044---------- VANCOUVER ----------
Lozano, G.S., Marqués, D., Schaposnik, F.A. Vortex solutions in the noncommutative torus. J. High Energy Phys. 2006;2006(9).
http://dx.doi.org/10.1088/1126-6708/2006/09/044