Deconstruction of Unparticles

TL;DR

This paper explores the theoretical properties of unparticles, a scale-invariant matter concept, by modeling them as a tower of massive particles and analyzing their behavior as the mass spacing approaches zero.

Contribution

It introduces a deconstruction approach to unparticles using a model in AdS5, clarifying their decay properties and invariant mass relations.

Findings

Unparticles behave as a continuum of massive states when mass spacing vanishes.

Unparticles cannot decay in the zero-spacing limit, but decay effects appear at finite spacing.

A model in AdS5 effectively implements the deconstruction of unparticles.

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 Delta vanishes. We explain why unparticle cannot decay in this limit and how, for finite Delta, the decays manifest themselves in a relation between the reconstructed invariant mass and vertex displacement. We describe a model field theory in AdS5 which explicitly implements the deconstruction procedure by truncating the extra dimension to size of order 1/Delta.