Two-dimensional anyons and the temperature dependence of commutator anomalies

TL;DR

This paper investigates how temperature influences commutator anomalies in two-dimensional anyonic field operators, revealing both global and local effects of non-zero temperature on correlation functions.

Contribution

It provides a detailed analysis of temperature effects on commutator anomalies specifically for two-dimensional anyonic fields, highlighting local manifestations.

Findings

Temperature affects commutator anomalies both globally and locally.

Correlation functions demonstrate local effects of non-zero temperature.

The study offers insights into temperature-dependent behavior of anyonic fields.

Abstract

The temperature dependence of commutator anomalies is discussed on the explicit example of particular (anyonic) field operators in two dimensions. The correlation functions obtained show that effects of the non-zero temperature might manifest themselves not only globally but also locally.