  We study gauge symmetry breaking by adiabatic approximation in the adiabatic
self-consistent collective coordinate (ASCC) method. In the previous study, we
found that the gauge symmetry of the equation of collective submanifold is
(partially) broken by its decomposition into the three moving-frame equations
depending on the order of $p$. In this study, we discuss the gauge symmetry
breaking by the truncation of the adiabatic expansion. A particular emphasis is
placed on the symmetry under the gauge transformations which are not point
transformations. We also discuss a possible version of the ASCC method
including the higher-order operators which can keep the gauge symmetry.
