  Galileon interactions represent a class of effective field theories that have
received much attention since their inception. They can be treated in their own
right as scalar field theories with a specific global shift and Galilean
symmetry or as a descendant of a more fundamental theory like massive gravity.
It is well known that the Galileon theories are stable under quantum
corrections thanks to the non-renormalization theorem which is not due to the
symmetry. We consider different covariant couplings of this Galileon scalar
field with the matter field: the conformal coupling, the disformal coupling and
the longitudinal coupling. We compute the one-loop quantum corrections to the
Galileon interactions from the coupling to the external matter fields. In all
the considered cases of covariant couplings we show that the terms generated by
one-loop matter corrections not only renormalize the Galileon interactions but
also give rise to higher order derivative ghost interactions. However, the
renormalized version of the Galileon interactions as well as the new
interactions come at a scale suppressed by the original classical coupling
scale and hence are harmless within the regime of validity of the effective
field theory.
