The Quantum Supersymmetric Vector Multiplet and Some Problems in Non-Abelian Supergauge Theory

Details The Quantum Supersymmetric Vector Multiplet and Some Problems in Non-Abelian Supergauge Theory The Quantum Supersymmetric Vector Multiplet and Some Problems in Non-Abelian Supergauge Theory

2002-12-03

arxiv.org/abs/hep-th/0212026v1

Annalen Phys. 12 (2003) 643-683

Physics

High Energy Physics

High Energy Physics - Theory

41 pages, LATEX2E

Scientific paper

10.1002/andp.200310030

We consider the supersymmetric vector multiplet in a purely quantum framework. We obtain some discrepancies with respect to the literature in the expression of the super-propagator and we prove that the model is consistent only for positive mass. The gauge structure is constructed purely deductive and leads to the necessity of introducing scalar ghost superfields, in analogy to the usual gauge theories. The construction of a consistent supersymmetric gauge theory based on the vector model depends crucially one the definition of gauge invariance. We find some significant difficulties to impose a supersymmetric gauge invariance condition for the usual expressions from the literature.

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