Evidence for Winding States in Noncommutative Quantum Field Theory
  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. 
W. Fischler, Joaquim Gomis, E. Gorbatov, A. Kashani-Poor, S. Paban, P.   Pouliot