Renormalization Group Analysis of a Gursey Model Inspired Field Theory II

TL;DR

This paper investigates the renormalization group properties of a Gursey model-inspired field theory, revealing conditions under which the model becomes nontrivial when coupled with an SU(N) gauge field.

Contribution

It extends previous work by analyzing the vector form of the Gursey model and demonstrates how coupling with an SU(N) field yields a nontrivial theory.

Findings

Coupling with an SU(N) field induces nontrivial behavior.

Scalar coupling alone results in a trivial theory.

Conditions for nontriviality are identified.

Abstract

Recently a model, which is equivalent to the scalar form of Gursey model, is shown to be a nontrivial field theoretical model when it is gauged with a SU(N) field. In this paper we study another model that is equivalent to the vector form of the Gursey model. We get a trivial theory when it is coupled with a scalar field. This result changes drastically when it is coupled with an additional SU(N) field. We find a nontrivial field theoretical model under certain conditions.