Vacuum stability of asymptotically safe gauge-Yukawa theories

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.

Comments: 22 pages, 7 figures; explanations added, match with published version