Asymptotic safety guaranteed

TL;DR

This paper investigates how certain four-dimensional quantum field theories can develop fully interacting ultraviolet fixed points through the cooperation of gauge fields, fermions, and scalars, even when asymptotic freedom is lost, using perturbation theory.

Contribution

It demonstrates the existence of asymptotically safe fixed points in non-abelian gauge theories with matter fields in the Veneziano limit, extending understanding beyond asymptotic freedom.

Findings

Identification of UV fixed points controlled by perturbation theory

Conditions under which asymptotic safety occurs in these theories

Discussion of potential extensions to strong coupling regimes

Abstract

We study the ultraviolet behaviour of four-dimensional quantum field theories involving non-abelian gauge fields, fermions and scalars in the Veneziano limit. In a regime where asymptotic freedom is lost, we explain how the three types of fields cooperate to develop fully interacting ultraviolet fixed points, strictly controlled by perturbation theory. Extensions towards strong coupling and beyond the large-N limit are discussed.