Wess-Zumino Model in the Causal Approach

Details Wess-Zumino Model in the Causal Approach Wess-Zumino Model in the Causal Approach

2000-11-20

arxiv.org/abs/hep-th/0011174v1

Eur.Phys.J.C21:723-734,2001

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, LATEX 2e

Scientific paper

10.1007/s100520100762

The Wess-Zumino model is analysed in the framework of the causal approach of Epstein-Glaser. The condition of invariance with respect to supersymmetry transformations is similar to the gauge invariance in the Z\"urich formulation. We prove that this invariance condition can be implemented in all orders of perturbation theory, i.e. the anomalies are absent in all orders. This result is of purely algebraic nature. We work consistently in the quantum framework based on Bogoliubov axioms of perturbation theory so no Grassmann variables are necessary.

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