The non-anticommutative supersymmetric Wess-Zumino model
High Energy Physics - Theory
2009-02-12 v3
Abstract
We discuss the non-anticommutative (N=1/2) supersymmetric Wess-Zumino model in four dimensions. Firstly we introduce differential operators which implement the non-anticommutative supersymmetry algebra acting on the component fields and action. Then we perform the renormalisation of the model up to two-loop order, including the complete set of terms necessary for renormalisability. We show that (at least up to this order) the results obtained when we eliminate the auxiliary field after renormalisation are equivalent to those obtained when we eliminate the auxiliary fields before quantisation.
Cite
@article{arxiv.0808.0400,
title = {The non-anticommutative supersymmetric Wess-Zumino model},
author = {I. Jack and D. R. T. Jones and R. Purdy},
journal= {arXiv preprint arXiv:0808.0400},
year = {2009}
}
Comments
28 pages, 7 figures, uses LaTeX