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Domain walls, $Z(N)$ charge and $A_0$ condensate: a canonical ensemble study

O. Borisenko·M. Faber·G. Zinovjev·K. Petrov
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Abstract

The deconfinement phase transition is studied in the ensemble canonical with respect to triality. Since this ensemble implies a projection to the zero triality sector of the theory we introduce a quantity which is insensitive to $Z(N_c)$ symmetry but can reveal a critical behaviour in the theory with dynamical quarks. Further, we argue that in the canonical ensemble description of full QCD there exist domains of different $Z(N_c)$ phases which are degenerate and possess normal physical properties. This contradicts the predictions of the grand canonical ensemble. We propose a new order parameter to test the realization of the discrete $Z(N_c)$ symmetry at finite temperature and calculate it for the case of $Z(2)$ gauge fields coupled to fundamental fermions.

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O. Borisenko, M. Faber, G. Zinovjev, K. Petrov. 1996-10-24. Domain walls, $Z(N)$ charge and $A_0$ condensate: a canonical ensemble study. https://arxiv.org/abs/hep-lat/9610034

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