  We review and expand upon recent work demonstrating that Weyl invariant
theories can be broken "inertially," which does not depend upon a potential.
This can be understood in a general way by the "current algebra" of these
theories, independently of specific Lagrangians. Maintaining the exact Weyl
invariance in a renormalized quantum theory can be accomplished by
renormalization conditions that refer back to the VEV's of fields in the
action. We illustrate the computation of a Weyl invariant Coleman-Weinberg
potential that breaks a U(1) symmetry together,with scale invariance.
