Anomalous bipartite gauge theory of the Z-symmetric QCD model

The bipartite gauge theory of the Z-symmetric QCD model, obtained by the Chern-Simons theory, is shown to be a non-commutative theory of the matter-free gauge theory. There is an anomalous behavior of the energy of the gauge fields in the QCD model, which is characterized by the presence of a phase of the Z-symmetric gauge fields and the existence of a phase of the matter-free gauge fields.