  Investigations have revealed a very complex structure for the coefficient
functions accompanying the divergences for individual time ($x^+$) ordered
diagrams in light-front perturbation theory. No guidelines seem to be available
to look for possible mistakes in the structure of these coefficient functions
emerging at the end of a long and tedious calculation, in contrast to covariant
field theory. Since, in light-front field theory, transverse boost generator is
a kinematical operator which acts just as the two-dimensional Galilean boost
generator in non-relativistic dynamics, it may provide some constraint on the
resulting structures. In this work we investigate the utility of Galilean
symmetry beyond tree level in the context of coupling constant renormalization
in light-front QCD using the two-component formalism. We show that for each
$x^+$ ordered diagram separately, underlying transverse boost symmetry fixes
relative signs of terms in the coefficient functions accompanying the diverging
logarithms. We also summarize the results leading to coupling constant
renormalization for the most general kinematics.
