Unparticle Realization Through Continuous Mass Scale Invariant Theories

TL;DR

This paper presents a novel approach to unparticles using continuous mass scale invariant theories, avoiding fixed points, and explores their interactions with the standard model, including multi-unparticle interactions and three-point functions.

Contribution

It introduces a new formalism for unparticles based on continuous mass scale invariant theories, expanding the understanding of unparticle interactions without fixed points.

Findings

Product of two scalar unparticles behaves as a scalar unparticle with summed dimension

Explicit examples of unparticle interactions with the standard model are provided

Three-point functions of unparticles are calculated within the formalism

Abstract

We consider scale invariant theories of continuous mass fields, and show how interactions of these fields with the standard model can reproduce unparticle interactions. There is no fixed point or dimensional transmutation involved in this approach. We generalize interactions of the standard model to multiple unparticles in this formalism and explicitly work out some examples, in particular we show that the product of two scalar unparticles behaves as a normalized scalar unparticle with dimension equal to the sum of the two composite unparticle dimensions. Extending the formalism to scale invariant interactions of continuous mass fields, we calculate three point function of unparticles.