Unparticle signals with a few particles

TL;DR

This paper demonstrates how scalar unparticle propagators can be approximated by a finite set of particles using Pade approximants, capturing key unparticle features for certain conformal dimensions.

Contribution

It introduces a systematic method to approximate unparticle propagators with a finite number of particles, extending to different conformal dimensions and including local terms.

Findings

Finite particle approximations can mimic unparticle signals.

The method works for 1<d<2 and for d>2 with local terms.

Approximants capture essential unparticle properties.

Abstract

We use Pade approximants to systematically approximate scalar unparticle propagators and their associated phase factors by a finite number of ordinary particles. This is possible for conformal dimensions 1<d<2, and also for d>2 if we add local terms. A small number of particles can, in some cases, mimic unparticle signals. We also discuss how the approximants capture basic unparticle properties.