Noncommutative real scalar field theory in 2+1 dimensions at finite temperature

TL;DR

This paper investigates the thermodynamic properties of a noncommutative real scalar field in 2+1 dimensions with a Grosse-Wulkenhaar term, revealing its consistent interpretation on a finite volume dictated by noncommutativity.

Contribution

It provides a perturbative analysis of the free energy for the noncommutative scalar field, highlighting its finite-volume interpretation based on noncommutativity scale.

Findings

Model can be interpreted as defined on a finite volume

Perturbative expansion reveals general properties of thermal contributions

Finite volume naturally determined by noncommutativity scale

Abstract

We study thermal effects for a noncommutative real scalar field in 2+1 dimensions including a Grosse-Wulkenhaar term. Using a perturbative expansion for the free energy, we deduce some general properties of the corresponding contributions, in the thermodynamic limit. We show that the model can be consistently interpreted as defined on a finite volume, which is naturally determined by the noncommutativity scale.