RG flows in non-perturbative gauge-Higgs unification I

We initiate the continuum description of a non-perturbative 5d lattice Yang–Mills model with 4d boundaries using the ε-expansion. In its simplest version classically the bulk has an $SU\left(2\right)$ gauge symmetry and on the boundary there is an Abelian–Higgs system with zero scalar potential. In part I we compute the Renormalization Group flows and related quantities in a limit where the boundary decouples from the bulk.