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Superfield Perturbation Theory

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Part of the book series: Ettore Majorana International Science Series ((EMISS,volume 7))

Abstract

This is a review of recent work which uses superfield Feynman diagrams to carry out loop calculations in supersymmetric models. I summarize the status of a calculation to compute the 3-loop ß-function in 0(4) Yang-Mills theory, describe a calculation in the much simpler Wess-Zumino model, and discuss the calculation of anomalies.

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References

  1. M.T. Grisaru, M. Roček and W. Siegel,Nuclear Phys. B159 (1969) 429;see also M. Grisaru “Supergravity” (eds P. van Nieuwenhuizen and D.Z. Freedman, North-Holland Publ. Co. 1979 ), p. 1.

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  2. L.F. Abbott and M.T. Grisaru, “The Three-Loop 2-Function for the Wess-Zumino Model”, Brandeis preprint, March 1978 (to be published in Nuclear Physics).

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  3. L. Brink, J.H. Schwarz and J. Scherk, Nuclear Phys. B121 (1977) 77.

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  5. M.T. Grisaru and W. Siegel “Supergraphity” (in preparation).

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  6. J. Iliopoulos and B. Zumino, Nuclear Phys. B76 (1974) 310.

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  9. For a review, see, for example, M. Grisaru, “Anomalies in Supersymmetric Theories” in “Recent Developments in Gravitation” (Cargese 1978), eds M. Lévy and S. Deser (Plenum Press).

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  10. T.E. Clark, 0. Piguet and K. Sibold, “The Renormalized Supercurrents in Supersymmetric QED”, Los Alamos preprint LA-UR-79-3439 (1979).

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  11. W. Siegel, “Inconsistency of Supersymmetric Dimensional Regularization”, Princeton Institute of Advanced Study preprint (1980).

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© 1980 Plenum Press, New York

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Grisaru, M.T. (1980). Superfield Perturbation Theory. In: Ferrara, S., Ellis, J., van Nieuwenhuizen, P. (eds) Unification of the Fundamental Particle Interactions. Ettore Majorana International Science Series, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3171-1_29

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  • DOI: https://doi.org/10.1007/978-1-4613-3171-1_29

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3173-5

  • Online ISBN: 978-1-4613-3171-1

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