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The renormalizability and the asymptotically behaviour of the extended Wess-Zumino models

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Abstract

By using the path integral method for superfields the Ward identities and the Callan-Symanzik equations for the extended Wess-Zumino models are derived. From these the renormalizability and the asymptotic behaviour of all the extended Wess-Zumino models ind=2,4 (mod 8)-dimensional space-time are studied. In particular, we come to the conclusion that the supersymmetric Ward identities together with the broken chiral Ward identities imply that a single wave function renormalization is sufficient to renormalize the theory, and the theory is not asymptotically free.

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Author notes

  1. Hoang Ngoc Long

    Present address: Institute of Theoretical Physics, Academy of Sciences of Vietnam, Bo Ho, P. O. Box 429, 10000, Hanoi, Vietnam

Authors and Affiliations

  1. Department of Physics, Hanoi University, Hanoi, Vietnam

    Ha Huy Bang

  2. International Centre for Theoretical Physics, Trieste, Italy

    Hoang Ngoc Long

Authors
  1. Ha Huy Bang
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  2. Hoang Ngoc Long
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Additional information

We would like to thank Professor Dao Vong Duc for putting forward the problem and for his helpful discussions. One of us (H. N. L) would like to thank Professor Abdus Salam, the International Atomic Energy and UNESCO for hospitality at the International Centre for Theoretical Physics, Trieste.

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Bang, H.H., Long, H.N. The renormalizability and the asymptotically behaviour of the extended Wess-Zumino models. Czech J Phys 40, 605–612 (1990). https://doi.org/10.1007/BF01597856

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  • DOI: https://doi.org/10.1007/BF01597856

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