Disappearance of fractional statistics in Schrieffer-Wilczek theory

TL;DR

This paper revises the Schrieffer-Wilczek theory, demonstrating that the Berry's phase and associated fractional statistics are effectively negligible, challenging previous assumptions about their significance.

Contribution

It corrects prior work by showing the Berry's phase and statistical vector potential are vanishingly small in the theory.

Findings

Berry's phase is negligibly small

Statistical vector potential becomes negligible

Fractional statistics disappear in the corrected theory

Abstract

The paper of Arovas, Schrieffer and Wilczek is corrected. It is found that the Berry's phase is vanishingly small. Accordingly, the statistical vector potential becomes negligibly small.