Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-08-26
Annalen Phys. 14 (2005) 520-532
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, no figures
Scientific paper
We continue the study of the supersymmetric vector multiplet in a purely quantum framework. We obtain some new results which make the connection with the standard literature. First we construct the one-dimensional physical Hilbert space taking into account the (quantum) gauge structure of the model. Then we impose the condition of positivity for the scalar product only on the physical Hilbert space. Finally we obtain a full supersymmetric coupling which is gauge invariant in the supersymmetric sense in the first order of perturbation theory. By integrating out the Grassmann variables we get an interacting Lagrangian for a massive Yang-Mills theory related to ordinary gauge theory; however the number of ghost fields is doubled so we do not obtain the same ghost couplings as in the standard model Lagrangian.
Grigore Dan Radu
Gut Markus
Scharf G"unter
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