Abstract
A light cone gauge theory is considered which possesses one or more conserved currents. It is shown quite generally that the usual associated charge operator is not conserved whenever the current transforms as a vector in Minkowski space. This includes the case of a conserved current which is a singlet under the operations of any group associated with a coupling to a non-abelian gauge field. As one application of this result one infers that there are no conserved flavor charge operators in the light cone formulation of quantum chromodynamics.
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