TL;DR
This paper explores gauge-Higgs unification via the Hosotani mechanism, where extra-dimensional dynamics induce gauge symmetry breaking, offering a novel unification approach supported by lattice simulation insights.
Contribution
It introduces the gauge-Higgs unification framework driven by the Hosotani mechanism in non-simply-connected extra dimensions, emphasizing nonperturbative lattice methods.
Findings
Polyakov line measurements indicate gauge symmetry breaking
Hosotani mechanism can be studied nonperturbatively
Potential for unifying gauge forces through extra-dimensional dynamics
Abstract
When the extra dimensional space is not simply-connected, dynamics of the AB phase in the extra dimension can induce dynamical gauge symmetry breaking by the Hosotani mechanism. This opens up a new way of achieving unification of gauge forces. It leads to the gauge-Higgs unification. The Hosotani mechanism can be established nonperturbatively by lattice simulations, in which measurements of the Polyakov line give a clue.
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