A note on unparticle in lower dimensions

TL;DR

This paper investigates how space-time dimensionality influences unparticle-mediated long-range forces, demonstrating their persistence in lower dimensions using a gauge-invariant formalism.

Contribution

It provides a novel analysis of unparticle effects across different dimensions, highlighting the robustness of long-range forces in lower-dimensional settings.

Findings

Long-range forces persist in lower dimensions with unparticles.

Gauge-invariant formalism effectively analyzes unparticle effects.

Dimensionality does not eliminate unparticle-mediated interactions.

Abstract

Using the gauge-invariant but path-dependent variables formalism, we examine the effect of the space-time dimensionality on a physical observable in the unparticle scenario. We explicitly show that long-range forces between particles mediated by unparticles are still present whenever we go over into lower dimensions.