Thermodynamics of the (2+1)-dimensional Gross-Neveu model with complex chemical potential - art. no. 025018

We study the thermodynamics of the (2 + 1)-dimensional Gross-Neveu model by introducing a representation for the canonical partition function which en codes both real and imaginary chemical potential cases. It is pointed out t hat the latter case probes the thermodynamics of possible anyon-like excita tions in the spectrum. It is also intimately connected to the breaking of t he discrete Z-symmetry of the model, which we interpret as signaling anyon deconfinement. Finally, the chiral properties of the model in the presence of an imaginary chemical potential are discussed and analytical results for the free-energy density at the transition points are presented.