Anyons and Chiral Solitons on a Line
U. Aglietti, L. Griguolo, R. Jackiw, S.-Y. Pi, D. Seminara
TL;DR
This paper challenges the notion that excitations in a gauge theory for anyons on a line obey anomalous statistics, and introduces a new field-theoretic description of lineal anyons that does not involve gauge fields, while also discovering novel chiral solitons.
Contribution
It demonstrates that excitations in a proposed gauge theory for lineal anyons do not exhibit anomalous statistics and constructs a gauge-field-free field theory for lineal anyons, revealing new chiral solitons.
Findings
Excitations do not obey anomalous statistics.
Novel chiral solitons are supported.
A gauge-field-free field-theoretic description is constructed.
Abstract
We show that excitations in a recently proposed gauge theory for anyons on a line in fact do not obey anomalous statistics. On the other hand, the theory supports novel chiral solitons. Also we construct a field-theoretic description of lineal anyons, but gauge fields play no role.
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