RG flows in Non-Perturbative Gauge-Higgs Unification I
Nikos Irges, Fotis Koutroulis
TL;DR
This paper studies the non-perturbative behavior of a 5d lattice Yang-Mills model with boundaries, using the epsilon-expansion to analyze RG flows and boundary-bulk interactions.
Contribution
It introduces a continuum approach to a 5d lattice gauge theory with boundaries and computes RG flows in a decoupled boundary limit.
Findings
Derived RG flow equations for the boundary system.
Analyzed the decoupling limit between boundary and bulk.
Provided insights into boundary-bulk interactions in non-perturbative gauge theories.
Abstract
We initiate the continuum description of a non-perturbative 5d lattice Yang-Mills model with 4d boundaries using the -expansion. In its simplest version classically the bulk has an 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.
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