Particle Theory Group
Institute for Theoretical Physics
University of Leipzig
Supersymmetry Transformations of Quantum Fields
If susy is non-linearly realized as is the case when auxiliary and/or longitudinal fields are eliminated the notions of charge and transformations become questionable. On the level of vertex functions the transformations seem to be also non-local. In order to clarify this issue one has to go over to general Green functions and from there to operator relations via the LSZ reduction formalism. It turns out that the operator transformation law is local but has to be modified in gauge theories as a consequence of gauge fixing which is not susy invariant. Such considerations are crucial if one wants to check how the algebra of generators is realized in perturbation theory.
Publications:
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[ 1 ] Supersymmetry transformations of quantum fields I (Wess-Zumino model, SQED), Ch. Rupp, R. Scharf, K. Sibold, hep-th/0101153;
[ 2 ] Supersymmetry transformations of quantum fields II: Supersymmetric Yang-Mills Theory, Ch. Rupp, K. Sibold, hep-th/0101165.
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