Eur. Phys. J. C (2010) 68: 277-281
https://doi.org/10.1140/epjc/s10052-010-1346-y

Regular Article - Theoretical Physics

A vector type Gürsey model and its renormalization group analysis

Department of Physics, Erciyes University, 38039, Kayseri, Turkey

^* e-mail: ftaskin@erciyes.edu.tr

Received: 8 December 2009
Revised: 2 April 2010
Published online: 3 June 2010

Abstract

We start with a model classically equivalent to the vector Gürsey 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.