Anyons as Dirac Strings the $A_x=0$ Gauge

TL;DR

This paper demonstrates how to quantize anyon particles in the $A_x=0$ gauge, where the statistical potential appears as a Dirac string, resulting in anyons obeying standard statistics.

Contribution

It introduces a method to quantize anyon theory in the $A_x=0$ gauge, clarifying the role of Dirac strings in statistical interactions.

Findings

Quantization in the $A_x=0$ gauge is feasible.

Anyons obey normal statistics in this gauge.

Dirac strings can be used to represent statistical potentials.

Abstract

We show how to quantize the anyon particle theory in the gauge $A_x=0$, where the statistical potential $\vec A(\vec x)$ is a Dirac string. In this gauge, anyons obey normal statistics.