Asymptotically free scaling solutions in nonabelian Higgs models

Understand

We construct asymptotically free renormalization group trajectories for the generic nonabelian Higgs model in four-dimensional spacetime.

• These ultraviolet-complete trajectories become visible by generalizing the renormalization/boundary conditions in the definition of the correlation functions of the theory.
• Though they are accessible in a controlled weak-coupling analysis, these trajectories originate from threshold phenomena which are missed in a conventional perturbative analysis relying on the deep Euclidean region.
• We identify a candidate three-parameter family of renormalization group trajectories interconnecting the asymptotically free ultraviolet regime with a Higgs phase in the low-energy limit.