Fractal Wilson Loop - Area Law and Gauge Invariance in Next to Leading Order

TL;DR

This paper investigates a fractal Wilson loop in non-compact SU(2) lattice gauge theory, demonstrating its gauge invariance and area law behavior in the next-to-leading order of strong coupling expansion, suggesting its physical relevance.

Contribution

It introduces a fractal Wilson loop as a new observable and proves its gauge invariance and area law behavior in a specific gauge theory setting.

Findings

Fractal Wilson loop obeys an area law in the studied model.

The observable is gauge invariant.

The study is conducted at next-to-leading order in strong coupling expansion.

Abstract

We consider a fractal Wilson loop $<F_{P}>$ and present physical arguments why this should be a relevant observable in nature. We show for non-compact SU(2) lattice gauge theory in the next to leading order of strong coupling expansion that $<F_{P}>$ obeys an area law behavior and is gauge invariant.