Scale Invariance in a Non-Abelian Chern-Simons-Matter Model

TL;DR

This paper demonstrates that a non-Abelian Chern-Simons-matter model can be made asymptotically scale invariant by reducing couplings and showing all beta-functions vanish at all perturbative orders.

Contribution

It applies a reduction method to express all couplings as functions of the Chern-Simons coupling, proving all beta-functions vanish and the model is asymptotically scale invariant.

Findings

All beta-functions vanish to all orders in perturbation theory.

The model exhibits asymptotic scale invariance.

Couplings can be expressed as functions of the Chern-Simons coupling.

Abstract

The general method of reduction in the number of coupling parameters is applied in a Chern-Simons-matter model with several independent couplings. We claim that considering the asymptotic region, and expressing all dimensionless coupling parameters as functions of the Chern-Simons coupling, it is possible to show that all $\beta$-functions vanish to any order of perturbative series. Therefore, the model is asymptotically scale invariant.