Artículo

Este artículo es de Acceso Abierto y puede ser descargado en su versión final desde nuestro repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

We derive Bogomolny-type equations for the abelian Higgs model defined on the noncommutative torus and discuss its vortex like solutions. To this end, we carefully analyze how periodic boundary conditions have to be handled in noncommutative space and discuss how vortex solutions are constructed. We also consider the extension to an U(2) × U(1) model, a simplified prototype of the noncommutative standard model. © SISSA 2005.

Registro:

Documento: Artículo
Título:Bogomolny equations for vortices in the noncommutative torus
Autor:Forgács, P.; Lozano, G.S.; Moreno, E.F.; Schaposnik, F.A.
Filiación:Laboratoire de Mathématiques et Physique Théorique, CNRS/UMR 6083, Université de Tours, Parc de Grandmont, 37200 Tours, France
Departamento de Fí Sica, FCEyN, Ciudad Universitaria, Buenos Aires, Argentina
Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de la Plata, C.C. 67, 1900 La Plata, Argentina
Department of Physics, West Virginia University, Morgantown, WV 26506-6315, United States
CONICET, Argentina
CICBA, Argentina
Palabras clave:Non-Commutative Geometry; Solitons Monopoles and Instantons
Año:2005
Número:7
Página de inicio:2021
Página de fin:2039
DOI: http://dx.doi.org/10.1088/1126-6708/2005/07/074
Título revista:Journal of High Energy Physics
Título revista abreviado:J. High Energy Phys.
ISSN:10298479
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_10298479_v_n7_p2021_Forgacs.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10298479_v_n7_p2021_Forgacs

Referencias:

  • Douglas, M.R., Nekrasov, N.A., Noncommutative field theory (2001) Rev. Mod. Phys., 73 (4), p. 977
  • Schaposnik, F.A., ; Schaposnik, F.A., Three Lectures on Noncommutative Field Theories
  • 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
  • Polychronakos, A.P., Flux tube solutions in noncommutative gauge theories (2000) Phys. Lett., 495 (3-4), p. 407
  • Harvey, J.A., Kraus, P., Larsen, F., Exact noncommutative solitons (2000) J. High Energy Phys., 2000 (12), p. 024
  • Bak, D., Exact multi-vortex solutions in noncommutative abelian- Higgs theory (2000) Phys. Lett., 495 (1-2), p. 251
  • Lozano, G.S., Moreno, E.F., Schaposnik, F.A., Nielsen-Olesen vortices in noncommutative space (2001) Phys. Lett., 504 (1-2), p. 117
  • Lozano, G.S., Moreno, E.F., Schaposnik, F.A., Self-dual Chern-Simons solitons in noncommutative space (2001) J. High Energy Phys., 2001 (2), p. 036
  • Khare, A., Paranjape, M.B., Solitons in 2+1 dimensional non-commutative Maxwell Chern-Simons Higgs theories (2001) J. High Energy Phys., 2001 (4), p. 002
  • Bak, D., Lee, K.M., Park, J.H., Noncommutative vortex solitons (2001) Phys. Rev., 63 (12), p. 125010
  • Gopakumar, R., Headrick, M., Spradlin, M., On noncommutative multi-solitons (2003) Comm. Math. Phys., 233 (2), p. 355
  • Tong, D., The moduli space of noncommutative vortices (2003) J. Math. Phys., 44 (8), p. 3509
  • Hanany, A., Tong, D., Vortices, instantons and branes (2003) J. High Energy Phys., 2003 (7), p. 037
  • Lozano, G.S., Moreno, E.F., Rodriguez, M.J., Schaposnik, F.A., Non BPS noncommutative vortices (2003) J. High Energy Phys., 2003 (11), p. 049
  • Bimonte, G., Lozano, G., Z flux line lattices and selfdual equations in the standard model (1994) Phys. Rev., 50 (10), p. 6046
  • Shah, P.A., Manton, N.S., Thermodynamics of vortices in the plane (1994) J. Math. Phys., 35 (3), p. 1171
  • 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
  • González-Arroyo, A., Yang-Mills Fields on the 4-dimensional Torus. (Classical Theory)
  • Ambjørn, J., Makeenko, Y.M., Nishimura, J., Szabo, R.J., Lattice gauge fields and discrete noncommutative Yang-Mills theory (2000) J. High Energy Phys., 2000 (5), p. 023
  • Ho, P.M., Twisted bundle on quantum torus and BPS states in matrix theory (1998) Phys. Lett., 434 (1-2), p. 41
  • Brace, D., Morariu, B., Zumino, B., Dualities of the matrix model from T-duality of the type-II string (1999) Nucl. Phys., 545 (1-3), p. 192
  • Bradlow, S.B., Vortices in holomorphic line bundles over closed Kähler manifolds (1990) Comm. Math. Phys., 135 (1), p. 1
  • Chaichian, M., Presnajder, P., Sheikh-Jabbari, M.M., Tureanu, A., Noncommutative gauge field theories: A no-go theorem (2002) Phys. Lett., 526 (1-2), p. 132

Citas:

---------- APA ----------
Forgács, P., Lozano, G.S., Moreno, E.F. & Schaposnik, F.A. (2005) . Bogomolny equations for vortices in the noncommutative torus. Journal of High Energy Physics(7), 2021-2039.
http://dx.doi.org/10.1088/1126-6708/2005/07/074
---------- CHICAGO ----------
Forgács, P., Lozano, G.S., Moreno, E.F., Schaposnik, F.A. "Bogomolny equations for vortices in the noncommutative torus" . Journal of High Energy Physics, no. 7 (2005) : 2021-2039.
http://dx.doi.org/10.1088/1126-6708/2005/07/074
---------- MLA ----------
Forgács, P., Lozano, G.S., Moreno, E.F., Schaposnik, F.A. "Bogomolny equations for vortices in the noncommutative torus" . Journal of High Energy Physics, no. 7, 2005, pp. 2021-2039.
http://dx.doi.org/10.1088/1126-6708/2005/07/074
---------- VANCOUVER ----------
Forgács, P., Lozano, G.S., Moreno, E.F., Schaposnik, F.A. Bogomolny equations for vortices in the noncommutative torus. J. High Energy Phys. 2005(7):2021-2039.
http://dx.doi.org/10.1088/1126-6708/2005/07/074