Perturbative Inaccessibility of Conformal Fixed Points in Nonsupersymmetric Quiver Theories

TL;DR

This paper discusses the challenges in determining whether non-supersymmetric quiver theories can have conformal fixed points, emphasizing the need for non-perturbative methods.

Contribution

It highlights the limitations of perturbative approaches in identifying conformal fixed points in these theories and underscores the importance of non-perturbative analysis.

Findings

Perturbative methods are insufficient for detecting conformal fixed points in non-supersymmetric quiver theories.

Non-perturbative information is essential to establish conformal invariance at fixed points.

The study clarifies the inaccessibility of certain fixed points through perturbative techniques.

Abstract

The possibility that non-supersymmetric quiver theories may have a renormalization-group fixed point at which there is conformal invariance requires non-perturbative information.