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The photino sector and a confining potential in a supersymmetric Lorentz-symmetry-violating model

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Abstract

We study the spectrum of the minimal supersymmetric extension of the Carroll–Field–Jackiw model for Electrodynamics with a topological Chern–Simons-like Lorentz-symmetry violating term. We identify a number of independent background fermion condensates, work out the gaugino dispersion relation and propose a photonic effective action to consider aspects of confinement induced by the SUSY background fermion condensates, which also appear to signal Lorentz-symmetry violation in the photino sector of the action. Our calculations of the static potential are carried out within the framework of the gauge-invariant but path-dependent variables formalism which are alternative to the Wilson loop approach. Our results show that the interaction energy contains a linear term leading to the confinement of static probe charges.

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Acknowledgements

The authors (HB, LDB and JAH-N) express their gratitude to the Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq-Brazil) for the financial support. P.G. was partially supported by Fondecyt (Chile) grant 1130426.

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Authors and Affiliations

  1. Departamento de Física e Química, Universidade Federal do Espírito Santo, Vitória, ES, Brasil

    H. Belich

  2. Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, RJ, Brasil

    L. D. Bernald & J. A. Helayël-Neto

  3. Departmento de Física and Centro Científico-Tecnológico de Valparaíso, Universidad Técnica Federico Santa María, Valparaíso, Chile

    Patricio Gaete

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  1. H. Belich
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Belich, H., Bernald, L.D., Gaete, P. et al. The photino sector and a confining potential in a supersymmetric Lorentz-symmetry-violating model. Eur. Phys. J. C 73, 2632 (2013). https://doi.org/10.1140/epjc/s10052-013-2632-2

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