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Dynamical Gauge Symmetry Breaking by Wilson Lines in the Electroweak Theory
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In higher dimensional gauge theory, dynamics of non-Abelian Aharonov-Bohm phases induces gauge symmetry breaking through the Hosotani mechanism. Higgs fields in the four-dimensional spacetime are identified with the extra-dimensional components of the gauge fields. Basics of the Hosotani mechanism are reviewed, and applied to the electroweak theory. The Higgs boson mass and the Kaluza-Klein excitation scale are related to the weak W-boson mass.
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To be, or not to be finite? The Higgs potential in Gauge-Higgs Unification
The Higgs effective potential in non-Abelian gauge-Higgs unification on M4 x S1 is finite at two loops, but in an M5 x S1 example it depends on a four-Fermi counterterm at three loops.
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