Thermal correlators of anyons in two dimensions

TL;DR

This paper investigates the thermal correlation functions of anyons in two dimensions, revealing temperature-dependent commutators and non-factorizing n-point functions, which differ from quasifree states.

Contribution

It provides a detailed analysis of the thermal correlators of anyons, highlighting their unique temperature-dependent operator-valued distributions for integer statistics.

Findings

Commutators become temperature-dependent for integer lpha.

n-point functions do not factorize as in quasifree states.

Anyons exhibit non-trivial thermal correlations in two dimensions.

Abstract

The anyon fields have trivial $\alpha$-commutator for $\alpha$ not integer. For integer $\alpha$ the commutators become temperature-dependent operator valued distributions. The $n$-point functions do not factorize as for quasifree states.