Eur. Phys. J. C 21, 723-734 (2001)
DOI: 10.1007/s100520100762
Wess-Zumino model in the causal approach
D.R. GrigoreDepartment of Theoretical Physics, Inst. Atomic Physics, Bucharest-Magurele, P.O. Box MG 6, Romania
(Received: 30 April 2001 / Revised version: 19 July 2001 / Published online: 31 August 2001 -© Springer-Verlag / Società Italiana di Fisica 2001 )
Abstract
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 gauge invariance in the Zürich
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 a purely algebraic nature. We work consistently in the quantum
framework
based on the Bogoliubov axioms of perturbation theory, so no Grassmann
variables
are necessary.
© Società Italiana di Fisica, Springer-Verlag 2001
