Abstract
We discuss properties of hypothetical scale invariant (unparticle) matter by viewing it as a tower of massive particles. We show how peculiar properties of unparticles emerge in the limit when the mass spacing parameter $\ensuremath{\Delta}$ vanishes. We explain why the unparticle cannot decay in this limit and how, for finite $\ensuremath{\Delta}$, the decays manifest themselves in a relation between the reconstructed invariant mass and vertex displacement. We describe a model field theory in ${\mathrm{AdS}}_{5}$ which explicitly implements the deconstruction procedure by truncating the extra dimension to size of order $1/\ensuremath{\Delta}$.
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