Thermodynamical properties of a class of models with non-Abelian internal symmetries at finite temperature and baryon number

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Abstract
The thermodynamical properties of a particular class of gauge models with non-Abelian internal symmetries at finite temperature with exactly implemented baryon-number conservation are investigated. In this context we analyze a model for both SU(2)- and SU(3)-color symmetries in the canonical and grand canonical ensembles. For the case of the grand canonical ensemble we examine particular structure arising with a complex chemical potential. The phase structure of the SU(2)-spin model is studied in the mean-field approximation using the complex chemical potential. These results could possibly be useful for Monte Carlo computations in lattice gauge theory at finite temperature and finite baryon number.