Vacuum stability of asymptotically safe gauge-Yukawa theories

2015/01/31 by Daniel F. Litim, Matin Mojaza, Francesco Sannino · 5 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Crossover #Fixed point #Gauge (firearms) #Gauge theory #Ground state #High-Energy Particle Collisions Research #Mathematical physics #Phase (matter) #Phase diagram #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Stability (learning theory) #Theoretical physics #Yukawa potential #hep-lat #hep-th

paper · pdf · doi:10.1007/jhep01(2016)081

published as JHEP01(2016)081 · 22 pages, 7 figures; explanations added, match with published version

openalex publication_date 2016/01/01 · arxiv created 2016/01/20 · arxiv updated 2016/01/21 · openalex created_date 2021/02/01 · openalex updated_date 2026/08/05

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.

Citations

• The a-function for gauge theories
• Analogs of the c-theorem for four-dimensional renormalisable field theories
• Ultraviolet Behavior of Non-Abelian Gauge Theories
• Reliable Perturbative Results for Strong Interactions?
• Supersymmetry and Supergravity
• Symmetry breaking and scalar bosons
• Radiative Corrections as the Origin of Spontaneous Symmetry Breaking

Cited by

• Safe trinification
• Towards the QED beta function and renormalons at 1/Nf2 and 1/Nf3
• Model building from asymptotic safety with Higgs and flavor portals
• General scalar renormalisation group equations at three-loop order
• Asymptotically safe and free chiral theories with and without scalars