Evidence for Winding States in Noncommutative Quantum Field Theory

TL;DR

This paper investigates noncommutative quantum field theories at finite temperature, revealing winding states and a significant reduction in degrees of freedom in the non-planar sector, which behaves like a 1+1 dimensional theory at high temperatures.

Contribution

It provides evidence for winding states and characterizes the thermodynamic behavior of the non-planar sector in noncommutative field theories.

Findings

Winding states are present in noncommutative field theories.

Degrees of freedom in the non-planar sector decrease at high temperatures.

Non-planar sector thermodynamics resemble a 1+1 dimensional theory.

Abstract

We study noncommutative field theories at finite temperature to learn more about the degrees of freedom in the non-planar sector of these systems. We find evidence for winding states. At temperatures for which the thermal wavelength is smaller than the noncommutativity scale, there is a drastic reduction of the degrees of freedom in the non-planar sector. In this regime, the non-planar sector has thermodynamics resembling that of a 1+1 dimensional field theory.