  We explore phenomenological consequences of coupling a non-conformal
scale-invariant theory to the standard model. We point out that, under certain
circumstances, non-conformal scale-invariant theories have oscillating
correlation functions which can dramatically modify standard model processes.
We dub this scenario cyclic unparticle physics, or simply cyclunparticle
physics. We compute phase spaces and amplitudes associated with final state
cyclunparticle and cyclunparticle exchange, respectively. We show detailed
formulae in a simple example.
