Finite-size anyons and perturbation theory

TL;DR

This paper develops a perturbation theory approach for finite-size anyons, addressing computational challenges and deriving the first-order equation of state for N-body systems with arbitrary spin.

Contribution

It introduces a method to perform perturbative calculations for finite-size anyons of arbitrary spin, overcoming previous difficulties and applying it to derive the equation of state.

Findings

Perturbation theory can be applied to finite-size anyons of arbitrary spin.

The first-order equation of state for N-body finite-size anyons is derived.

Special case of spin 1/2 allows direct perturbative analysis.

Abstract

We address the problem of finite-size anyons, i.e., composites of charges and finite radius magnetic flux tubes. Making perturbative calculations in this problem meets certain difficulties reminiscent of those in the problem of pointlike anyons. We show how to circumvent these difficulties for anyons of arbitrary spin. The case of spin 1/2 is special because it allows for a direct application of perturbation theory, while for any other spin, a redefinition of the wave function is necessary. We apply the perturbative algorithm to the N-body problem, derive the first-order equation of state and discuss some examples.