  We use the external field method to study the electroweak chiral Lagrangian
of the extra dimension model with brane fluctuation. Under the assumption that
the contact terms between the matters of the standard model and KK excitations
are heavily suppressed, we use the standard procedure to integrate out the
quantum fields of KK excitations and the equation of motion to eliminate the
classic fields of KK excitations. At one-loop level, we find that up to the
order $O(p^4)$, due to the momentum conservation of the fifth dimension and the
gauge symmetry of the zero modes, there is no constraint on the size of extra
dimension. This result is consistent with the decoupling theorem. However,
meaningful constraints can come from those operators in $O(p^6)$, which can
contribute considerably to some anomalous vector couplings and can be
accessible in the LC and LHC.
