  We discuss a consistent treatment of the light-front gauge-boson and meson
wave functions in the analyses of the generalized parton distributions(GPDs)
and the scattering amplitudes in deeply virtual Compton scattering(DVCS) for
the pion. The continuity of the GPDs at the crossover, where the longitudinal
momentum fraction of the probed quark is same with the skewedness parameter,
and the finiteness of the DVCS amplitude are ensured if the same light-front
radial wave function as that of the meson bound state wave function is used for
the gauge boson bound state arising from the pair-creation(or nonvalence)
diagram. The frame-independence of our model calculation is also guaranteed by
the constraint from the sum rule between the GPDs and the form factors.
