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Abstract:

We study periodic arrays of non-Abelian vortices in an SU(N) × U(1) gauge theory with Nf flavors of fundamental matter multiplets. We carefully discuss the corresponding twisted boundary conditions on the torus and propose an ansatz to solve the first order Bogomolnyi equations which we find by looking to a bound of the energy. We solve the equations numerically and construct explicit vortex solutions. © SISSA 2007.

Registro:

Documento: Artículo
Título:Non-abelian vortices on the torus
Autor:Lozano, G.S.; Marqués, D.; Schaposnik, F.A.
Filiación:Departamento de Física, FCEyN, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Departamento de Física, Universidad Nacional de la Plata, C.C. 67, 1900 La Plata, Argentina
CEFIMAS-SCA, C1059ABF, Buenos Aires, Argentina
CONICET
CICBA
Palabras clave:Gauge symmetry; Solitons monopoles and instantons
Año:2007
Volumen:2007
Número:9
DOI: http://dx.doi.org/10.1088/1126-6708/2007/09/095
Título revista:Journal of High Energy Physics
Título revista abreviado:J. High Energy Phys.
ISSN:11266708
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_11266708_v2007_n9_p_Lozano.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2007_n9_p_Lozano

Referencias:

  • Nielsen, H.B., Olesen, P., Vortex-line models for dual strings (1973) Nucl. Phys., 61, p. 45
  • Bogomolny, E.B., Stability of classical solutions (1976) Sov. J. Nucl. Phys., 24, p. 449
  • De Vega, H.J., Schaposnik, F.A., A classical vortex solution of the abelian Higgs model (1976) Phys. Rev., 14 (4), p. 1100
  • Taubes, C.H., Arbitrary N: Vortex solutions to the first order Landau-Ginzburg equations (1980) Comm. Math. Phys., 72 (3), p. 277
  • Bradlow, S.B., Vortices in holomorphic line bundles over closed Kähler manifolds (1990) Comm. Math. Phys., 135 (1), p. 1
  • 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
  • Tong, D., Tasi Lectures on Solitons
  • Schaposnik, F.A., Vortices
  • De Vega, H.J., Schaposnik, F.A., Electrically charged vortices in nonabelian gauge theories with Chern-Simons term (1986) Phys. Rev. Lett., 56 (24), p. 2564
  • De Vega, H.J., Schaposnik, F.A., Vortices and electrically charged vortices in nonabelian gauge theories (1986) Phys. Rev., 34 (10), p. 3206
  • Hanany, A., Tong, D., Vortices, instantons and branes (2003) J. High Energy Phys., 2003 (7), p. 037
  • Auzzi, R., Bolognesi, S., Evslin, J., Konishi, K., Yung, A., Nonabelian superconductors: Vortices and confinement in N ≤ 2 SQCD (2003) Nucl. Phys., 673, p. 187
  • Hanany, A., Tong, D., Vortex strings and four-dimensional gauge dynamics (2004) J. High Energy Phys., 2004 (4), p. 066
  • Shifman, M., Yung, A., Non-abelian string junctions as confined monopoles (2004) Phys. Rev., 70, p. 045004
  • Gorsky, A., Shifman, M., Yung, A., Non-abelian Meissner effect in Yang-Mills theories at weak coupling (2005) Phys. Rev., 71, p. 045010
  • Eto, M., Isozumi, Y., Nitta, M., Ohashi, K., Sakai, N., Moduli space of non-abelian vortices (2006) Phys. Rev. Lett., 96 (16), p. 161601
  • Eto, M., Isozumi, Y., Nitta, M., Ohashi, K., Sakai, N., Solitons in the Higgs phase: The moduli matrix approach (2006) J. Phys. A: Math. Gen., 39 (26), p. 315
  • Shifman, M., Yung, A., Supersymmetric Solitons and How They Help Us Understand Non-abelian Gauge Theories
  • Gonzalez-Arroyo, A., Yang-Mills Fields on the 4-dimensional Torus. (Classical Theory)
  • Hooft, G., A property of electric and magnetic flux in nonabelian gauge theories (1979) Nucl. Phys., 153, p. 141
  • Edelstein, J.D., Ñez, C., Schaposnik, F., Supersymmetry and bogomolny equations in the abelian Higgs model (1994) Phys. Lett., 329 (1), p. 39
  • Gonzalez-Arroyo, A., Ramos, A., Dynamics of critical vortices on the torus and on the plane (2007) J. High Energy Phys., 2007 (1), p. 054
  • 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
  • Lozano, G.S., Marques, D., Schaposnik, F.A., Vortex solutions in the noncommutative torus (2006) J. High Energy Phys., 2006 (9), p. 044
  • Shifman, M., Yung, A., Non-abelian semilocal strings in N ≤ 2 supersymmetric QCD (2006) Phys. Rev., 73 (12), p. 125012
  • Aldrovandi, L.G., Schaposnik, F.A., Non-abelian vortices in Chern-Simons theories and their induced effective theory (2007) Phys. Rev., 76 (4), p. 045010
  • Lozano, G.S., Marques, D., Moreno, E.F., Schaposnik, F.A., Non-abelian Chern-Simons Vortices
  • De Vega, H.J., Schaposnik, F.A., Electrically charged vortices in nonabelian gauge theories with Chern-Simons term (1986) Phys. Rev. Lett., 56 (24), p. 2564
  • Ambjørn, J., Olesen, P., Electroweak magnetism: Theory and application (1990) Int. J. Mod. Phys., 5 (23), p. 4525
  • Ambjørn, J., Olesen, P., A condensate solution of the electroweak theory which interpolates between the broken and the symmetric phase (1990) Nucl. Phys., 330 (1), p. 193
  • Bimonte, G., Lozano, G., Z flux line lattices and selfdual equations in the standard model (1994) Phys. Rev., 50 (10), p. 6046
  • Yang, Y., Topological solitons in the Weinberg-Salam theory (1997) Physica, 101 (1-2), p. 55
  • Cugliandolo, L.F., Lozano, G., Schaposnik, F.A., Bogomolny equations for nonabelian gauge theories (1989) Phys. Rev., 40 (10), p. 3440

Citas:

---------- APA ----------
Lozano, G.S., Marqués, D. & Schaposnik, F.A. (2007) . Non-abelian vortices on the torus. Journal of High Energy Physics, 2007(9).
http://dx.doi.org/10.1088/1126-6708/2007/09/095
---------- CHICAGO ----------
Lozano, G.S., Marqués, D., Schaposnik, F.A. "Non-abelian vortices on the torus" . Journal of High Energy Physics 2007, no. 9 (2007).
http://dx.doi.org/10.1088/1126-6708/2007/09/095
---------- MLA ----------
Lozano, G.S., Marqués, D., Schaposnik, F.A. "Non-abelian vortices on the torus" . Journal of High Energy Physics, vol. 2007, no. 9, 2007.
http://dx.doi.org/10.1088/1126-6708/2007/09/095
---------- VANCOUVER ----------
Lozano, G.S., Marqués, D., Schaposnik, F.A. Non-abelian vortices on the torus. J. High Energy Phys. 2007;2007(9).
http://dx.doi.org/10.1088/1126-6708/2007/09/095