Generalized partition functions and interpolating statistics

TL;DR

This paper connects quasiperiodic boundary conditions in relativistic particle partition functions with anyonic physics, deriving temperature-dependent virial coefficients that interpolate between known limits.

Contribution

It introduces a generalized framework for partition functions with quasiperiodic conditions, linking relativistic quantum statistics to anyonic behavior.

Findings

Derives the second virial coefficient for anyons at low temperature.

Obtains the high temperature limit of the virial coefficient.

Provides the full temperature dependence of the virial coefficient.

Abstract

We show that the assumption of quasiperiodic boundary conditions (those that interpolate continuously periodic and antiperiodic conditions) in order to compute partition functions of relativistic particles in 2+1 space-time can be related with anyonic physics. In particular, in the low temperature limit, our result leads to the well known second virial coefficient for anyons. Besides, we also obtain the high temperature limit as well as the full temperature dependence of this coefficient.