A vector type Gursey model and its renormalization group analysis

We start with a model classically equivalent to the vector Gursey model. The model is coupled with a non-abelian SU(N) gauged field. For the one loop approximation, the renormalization group equations are constructed and the coupling constant solutions are found. The coupling constants behaviors are briefly investigated and non-triviality conditions of the model are presented. Under certain conditions, a non-trivial field theoretical model is obtained.