Anyons in quantum mechanics with a minimal length

TL;DR

This paper demonstrates that relativistic anyons can exist in quantum theories with a minimal length, extending the understanding of anyons beyond standard quantum mechanics in 2+1 dimensions.

Contribution

It shows the existence of relativistic anyons in quantum theories incorporating a minimal length, revealing new possibilities for quantum states with arbitrary spin.

Findings

Relativistic anyons can exist with a minimal length.

The interplay between minimal length and arbitrary spin is analyzed.

The results extend the framework of quantum mechanics in lower dimensions.

Abstract

The existence of anyons, \textit{i.e.} quantum states with an arbitrary spin, is a generic feature of standard quantum mechanics in $(2+1)-$dimensional Minkowski spacetime. Here it is shown that relativistic anyons may exist also in quantum theories where a minimal length is present. The interplay between minimal length and arbitrary spin effects are discussed.