We propose an alternative paradigm to the conjectured Miransky scaling potentially underlying the physics describing the transition from the conformally broken to the conformally restored phase when tuning certain parameters such as the number of flavors in gauge theories. According to the new paradigm the physical scale and henceforth also the massive spectrum of the theory jump at the lower boundary of the conformal window. In particular, we propose that a theory can suddenly jump from a Quantum Chromodynamics (QCD) type spectrum, at the lower boundary of the conformal window, to a conformal one without particle interpretation. The jumping scenario, therefore, does not support a near-conformal dynamics of walking type. We will argue that jumping dynamics can occur for relevant gauge theories such as super QCD and QCD. We will also discuss the impact of jumping dynamics on the construction of models of dynamical electroweak symmetry breaking.
The unobservable axial-pion mixing in QCD and near-conformal dynamics
