  We discuss the gauge-Higgs unification in a framework of Lifshitz type gauge
theory. We study a higher dimensional gauge theory on R^{D-1}\times S^{1} in
which the normal second (first) order derivative terms for scalar (fermion)
fields in the action are replaced by higher order derivative ones for the
direction of the extra dimension. We provide some mathematical tools to
evaluate a one-loop effective potential for the zero mode of the extra
component of a higher dimensional gauge field and clarify how the higher order
derivative terms affect the standard form of the effective potential. Our
results show that they can make the Higgs mass heavier and change its vacuum
expectation value drastically. Some extensions of our framework are briefly
discussed.
