The Lattice Mean-Field Approximation of Gauge-Higgs Unification on the Orbifold
Kyoko Yoneyama, Nikos Irges, Francesco Knechtli

TL;DR
This paper investigates the static potential in a five-dimensional SU(2) gauge theory with orbifold boundary conditions, using a lattice mean-field approximation to explore gauge-Higgs unification models.
Contribution
It applies the lattice mean-field approximation with first order corrections to analyze the static potential in a gauge-Higgs unification scenario on an orbifold.
Findings
Potential behavior suggests finite Higgs mass
Mean-field approximation captures key features of the model
Orbifold boundary conditions influence gauge field dynamics
Abstract
A possible extension of the Standard Model of elementary particles is Gauge-Higgs unification, where the Higgs field is identified with (some of) the extra dimensional components of a five-dimensional gauge field. In this scenario there is evidence for the potential and the mass of the Higgs field to be finite. Here we show the behavior of the static potential of a five-dimensional SU(2) lattice gauge theory with orbifold boundary conditions. The potentials are computed within the mean-field approximation including first order corrections.
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