Massive Supersymmetric Quantum Gauge Theory

Abstract

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.

13 pages, no figures

References in corpus (7)

• Renormalization of the Minimal Supersymmetric Standard Model
• BUSSTEPP Lectures on Supersymmetry
• The Standard Model and its Generalisations in Epstein-Glaser Approach to Renormalisation Theory
• Supersymmetry, Supercurrent and Scale Invariance
• The Quantum Supersymmetric Vector Multiplet and Some Problems in Non-Abelian Supergauge Theory
• The Standard Model and its Generalizations in Epstein-Glaser Approach to Renormalization Theory II: the Fermion Sector and the Axial Anomaly
• Introduction to Supersymmetric Gauge Theories