Vacuum stability of asymptotically safe gauge-Yukawa theories

TL;DR

This paper investigates the phase structure and vacuum stability of four-dimensional gauge-Yukawa theories with asymptotic safety, providing analytical and numerical insights into their fixed points, couplings, and effective potential.

Contribution

It offers new analytical and numerical results on the phase diagram, fixed points, and vacuum stability of asymptotically safe gauge-Yukawa theories.

Findings

Classical and quantum vacuum stability is established.

Detailed analysis of running couplings and crossover scales.

Identification of the separatrix and effective potential features.

Abstract

We study the phase diagram and the stability of the ground state for certain four-dimensional gauge-Yukawa theories whose high-energy behaviour is controlled by an interacting fixed point. We also provide analytical and numerical results for running couplings, their crossover scales, the separatrix, and the Coleman-Weinberg effective potential. Classical and quantum stability of the vacuum is established.