Quantum extended supersymmetries

Section: Supersymmetric Invariant Two Point Functionsmentioning

confidence: 89%

Supersymmetric Källen-Lehmann representation

Constantinescu

2006

“…There is another possibility, namely to use extended supersymmetries [11]. However in this case one finds out immediately that one cannot include the usual ghost fields in some supersymmetric ghost multiplet.…”

Section: Discussionmentioning

confidence: 99%

A supersymmetric extension of quantum gauge theory

Grigore

Scharf

2003

Self Cite

We consider a supersymmetric extension of quantum gauge theory based on a vector multiplet containing supersymmetric partners of spin 3/2 for the vector fields. The constructions of the model follows closely the usual construction of gauge models in the Epstein-Glaser framework for perturbative field theory. Accordingly, all the arguments are completely of quantum nature without reference to a classical supersymmetric theory.As an application we consider the supersymmetric electroweak theory. The resulting self-couplings of the gauge bosons agree with the standard model up to a divergence.

No-go result for supersymmetric gauge theories in the causal approach

Grigore

Scharf

2008

Self Cite

We consider the massless supersymmetric vector multiplet in a purely quantum framework and propose a power counting formula. Then we prove that the interaction Lagrangian for a massless supersymmetric non-Abelian gauge theory (SUSY-QCD) is uniquely determined by some natural assumptions, as in the case of Yang-Mills models. The result can be easily generalized to the case when massive multiplets are present, but one finds out that the massive and the massless Bosons must be decoupled, in contradiction with the standard model. Going to the second order of perturbation theory produces an anomaly which cannot be eliminated. We make a thorough analysis of the model working only with the component fields.