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Quantization of a six-dimensional Wess-Zumino model

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Il Nuovo Cimento A (1965-1970)

Summary

We examine a six-dimensional Wess-Zumino model. The equations of motion are of the fourth order, implying two modes of propagation; a normal bradyonic mode and a tachyonic mode. The conserved fermion current is constructed. The component fields are quantized in such a way that the operator representing the supercharge is the generator of supersymmetry transformations. The quantization is complemented by the definition of the vacuum for both modes. The evaluation of vacuum expectation values leads to a Feynman propagator for the normal mode and a half-advanced and half-retarded propagator for the tachyon mode. Convolutions between these propagators show consistency with unitarity.

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Authors and Affiliations

  1. Departamento de Física, Pontifícia Universidade Católica de Rio de Janeiro, Caixa Postal 38071, 22452-970, Rio de Janeiro, Brasil

    D. G. Barci

  2. Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, La Plata, Argentina

    C. G. Bollini & M. Rocca

  3. Comisión de Investigaciones Científicas de la Provincia de Buenos Aires, Argentina

    C. G. Bollini

Authors
  1. D. G. Barci
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  2. C. G. Bollini
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  3. M. Rocca
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Additional information

This work was partially supported by the Comision de Investigaciones Cientificas, Provincia Buenos Aires, Argentina.

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Barci, D.G., Bollini, C.G. & Rocca, M. Quantization of a six-dimensional Wess-Zumino model. Nuov Cim A 108, 797–808 (1995). https://doi.org/10.1007/BF02731021

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  • DOI: https://doi.org/10.1007/BF02731021

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