Abstract:
In this paper we study a 2 + 1 dimensional system in which fermions are coupled to the self-dual topological vortex in U(1) × U(1) Chern-Simons theory, where both U(1) gauge symmetries are spontaneously broken. We consider two Abelian Higgs scalars with visible and hidden sectors coupled to a fermionic field through three interaction La-grangians, where one of them violates the fermion number. Using a fine tuning procedure, we could obtain the number of the fermionic zero modes which is equal to the absolute value of the sum of the vortex numbers in the visible and hidden sectors. © 2015, The Author(s).
Registro:
Documento: |
Artículo
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Título: | Fermion zero modes in the vortex background of a Chern-Simons-Higgs theory with a hidden sector |
Autor: | Lozano, G.; Mohammadi, A.; Schaposnik, F.A. |
Filiación: | Departamento de Física, FCEYN Universidad de Buenos Aires & IFIBA CONICET, Pabellón 1 Ciudad Universitaria, Buenos Aires, 1428, Argentina Departamento de Fısica, Universidade Federal da Paraıba, 58.059-970, João Pessoa, PB Caixa Postal 5.008, Brazil Departamento de Física, Universidad Nacional de La Plata/IFLP/CICBA, La Plata, CC 67 1900, Argentina
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Palabras clave: | ChernSimons Theories; Solitons Monopoles and Instantons; Supersymmetric gauge theory |
Año: | 2015
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Volumen: | 2015
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Número: | 11
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Página de inicio: | 1
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Página de fin: | 11
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DOI: |
http://dx.doi.org/10.1007/JHEP11(2015)042 |
Título revista: | Journal of High Energy Physics
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Título revista abreviado: | J. High Energy Phys.
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ISSN: | 11266708
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2015_n11_p1_Lozano |
Referencias:
- Coleman, S., (1985) The Uses of Instantons, in Aspects of Symmetries: Selected Erice lectures, pp. 265-350. , Cambridge University Press, Cambdrige, U.K
- Wilczek, F., Majorana returns (2009) Nature Phys., 5, p. 614
- Abrikosov, A.A., On the Magnetic properties of superconductors of the second group (1957) Sov. Phys. JETP, 5, p. 1174. , [INSPIRE]
- Nielsen, H.B., Olesen, P., Vortex Line Models for Dual Strings (1973) Nucl. Phys., B 61, p. 45. , [INSPIRE]
- Nohl, C.R., Bound State Solutions of the Dirac Equation in Extended Hadron Models (1975) Phys. Rev., D 12, p. 1840. , [INSPIRE]
- de Vega, H.J., Fermions and Vortex Solutions in Abelian and Nonabelian Gauge Theories (1978) Phys. Rev., D 18, p. 2932. , [INSPIRE]
- Jackiw, R., Rossi, P., Zero Modes of the Vortex-Fermion System (1981) Nucl. Phys., B 190, p. 681. , [INSPIRE]
- S.K. Paul and A. Khare, Charged Vortices in Abelian Higgs Model with Chern-Simons Term, Phys. Lett. B 174 (1986) 420 [Erratum ibid. 177B (1986) 453] []; de Vega, H.J., Schaposnik, F.A., Electrically Charged Vortices in Nonabelian Gauge Theories With Chern-Simons Term (1986) Phys. Rev. Lett., 56, p. 2564. , [INSPIRE]
- de Vega, H.J., Schaposnik, F.A., Vortices and electrically charged vortices in nonAbelian gauge theories (1986) Phys. Rev., D 34, p. 3206. , [INSPIRE]
- Hong, J., Kim, Y., Pac, P.Y., On the Multivortex Solutions of the Abelian Chern-Simons-Higgs Theory (1990) Phys. Rev. Lett., 64, p. 2230. , [INSPIRE]
- Jackiw, R., Weinberg, E.J., Self-dual Chern-Simons vortices (1990) Phys. Rev. Lett., 64, p. 2234. , [INSPIRE]
- Cugliandolo, L.F., Lozano, G., Zero Modes of the Vortex Fermion System: The Nonabelian Case (1989) Phys. Rev., D 39, p. 3093. , [INSPIRE]
- Grignani, G., Nardelli, G., Threshold bound states and zero modes of fermions in a selfdual Chern-Simons vortex background (1991) Phys. Rev., D 43, p. 1919. , [INSPIRE]
- Lee, B.-H., Lee, C.-K., Min, H., Supersymmetric Chern-Simons vortex systems and fermion zero modes (1992) Phys. Rev., D 45, p. 4588. , [INSPIRE]
- Jaeckel, J., Ringwald, A., The Low-Energy Frontier of Particle Physics (2010) Ann. Rev. Nucl. Part. Sci., 60, p. 405. , [arXiv:1002.0329] [INSPIRE]
- Arias, P., Cadamuro, D., Goodsell, M., Jaeckel, J., Redondo, J., Ringwald, A., WISPy Cold Dark Matter (2012) JCAP, 6, p. 013. , [arXiv:1201.5902] [INSPIRE]
- Arias, P., Ireson, E., Schaposnik, F.A., Tallarita, G., Chern-Simons-Higgs theory with visible and hidden sectors and its N = 2 SUSY extension (2015) Phys. Lett., B 749, p. 368. , [arXiv:1505.06705] [INSPIRE]
- Anber, M.M., Burnier, Y., Sabancilar, E., Shaposhnikov, M., Confined Vortices in Topologically Massive U(1) × U(1) Theory (2015) Phys. Rev., D 92, p. 065013. , [arXiv:1507.02709] [INSPIRE]
- M.M. Anber, Y. Burnier, E. Sabancilar and M. Shaposhnikov, Superconductivity at Any Temperature, []; M.M. Anber, Y. Burnier, E. Sabancilar and M. Shaposhnikov, Diamagnetic Vortices in Chern Simons Theory, []; Lee, C.-K., Lee, K.-M., Weinberg, E.J., Supersymmetry and Selfdual Chern-Simons Systems (1990) Phys. Lett., B 243, p. 105. , [INSPIRE]
Citas:
---------- APA ----------
Lozano, G., Mohammadi, A. & Schaposnik, F.A.
(2015)
. Fermion zero modes in the vortex background of a Chern-Simons-Higgs theory with a hidden sector. Journal of High Energy Physics, 2015(11), 1-11.
http://dx.doi.org/10.1007/JHEP11(2015)042---------- CHICAGO ----------
Lozano, G., Mohammadi, A., Schaposnik, F.A.
"Fermion zero modes in the vortex background of a Chern-Simons-Higgs theory with a hidden sector"
. Journal of High Energy Physics 2015, no. 11
(2015) : 1-11.
http://dx.doi.org/10.1007/JHEP11(2015)042---------- MLA ----------
Lozano, G., Mohammadi, A., Schaposnik, F.A.
"Fermion zero modes in the vortex background of a Chern-Simons-Higgs theory with a hidden sector"
. Journal of High Energy Physics, vol. 2015, no. 11, 2015, pp. 1-11.
http://dx.doi.org/10.1007/JHEP11(2015)042---------- VANCOUVER ----------
Lozano, G., Mohammadi, A., Schaposnik, F.A. Fermion zero modes in the vortex background of a Chern-Simons-Higgs theory with a hidden sector. J. High Energy Phys. 2015;2015(11):1-11.
http://dx.doi.org/10.1007/JHEP11(2015)042