Continuum limit of a hierarchical SU(2) lattice gauge theory in 4 dimensions (Q1089941)

We study nonperturbative renormalizability of a \(d=4\) hierarchical SU(2) gauge model that realizes Migdal's recursion relation as an exact renormalization group transformation. A continuum limit of effective actions is shown to exist as the scaling limit, both for initial Wilson and heat kernel actions. These limit effective actions exhibit ultraviolet asymptotic freedom and provide a strictly positive string tension.