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RG flows in Non-Perturbative Gauge-Higgs Unification I

arXiv:1804.06306 · doi:10.1016/j.nuclphysb.2018.10.009

Abstract

We initiate the continuum description of a non-perturbative 5d lattice Yang-Mills model with 4d boundaries using the $\varepsilon$-expansion. In its simplest version classically the bulk has an $SU(2)$ 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.

65 pages with 5 figures, in v.2 an ε-bug in the anomalous dimension of fields corrected, references added. The published version, v.3, uploaded, Journal reference and DOI added