The Gauged Unparticle Action

TL;DR

This paper demonstrates an equivalence between gauge-invariant unparticle actions with Wilson lines and an alternative operator form, simplifying Feynman diagram construction without losing physical consistency.

Contribution

It introduces a transformation from the Wilson line-based gauge-invariant unparticle action to an integral-differential operator form, facilitating easier Feynman diagram calculations.

Findings

Both forms produce identical Feynman diagrams.

Operator form simplifies diagram construction.

Equivalence ensures physical consistency.

Abstract

We show that the unparticle action that is made gauge invariant by the inclusion of an open Wilson line factor can be transformed into the integral-differential operator action that avoids the use of the Wilson line factor. The two forms of the action should therefore give the same Feynman diagrams. We also show that it is relatively easy to construct Feynman diagrams using the operator action.