spectrum to another class of hadronic matter. The Gross-Witten point is interpreted to be the point where the phase transition from the discrete low-lying mass spectrum to the con- tinuous high-lying mass spectrum is taken place in the hadronic matter. The low-lying mass spectrum is defined by the known hadrons those are available and known experimentally while the high-lying mass spectrum is defined by the Hagedorn states. The phase transition from the low-lying to the high-lying hadronic mass spectrum is caused by the modification of the analytical solution for the color-singlet-state of the underlying group structure of a composite bag. The analytical solution for the color-singlet-state is modified drastically when the Vandermonde effective potential develops a virtual singularity. When the solution is regulated, another analytical solution emerges and the hadronic phase transition from the discrete low-lying mass spectrum to the Hagedorn matter takes place in the system. Evidently, the Gross-Witten point differs from the deconfinement phase transition point and it is located in the hadronic phase below the deconfinement’s threshold. Therefore, the Gross-Witten point seems to be necessary for the existence of the tri-critical point and the multi-phase transition processes below the deconfined quark-gluon plasma. The hadronic phase transition from the hadronic matter which is dominated by the discrete low-lying hadronic mass spectrum (consists baryons such as N, Λ , Σ , Ξ, · · · and mesons such as pions, kaons, · · · ) (i.e. all the hadrons that are found in particle data group book [3]) to another hadronic matter that is dominated by the continuous high-lying hadronic mass spectrum (i.e. Hagedorn states) takes place at the Gross-Witten point. It is argued that the hadronic phase transition is of the higher order and it is typically of a third order one. Since the discrete low-lying hadronic mass spectrum below the Gross- Witten point is presumed to maintain the original internal unitary SU ( N$_{c}$ ) structure, it is natural to assume that the initial Hagedorn states which emerge just above the Gross-Witten point is the mass spectrum of a composite bag with colorless SU ( N$_{c}$ ) states. Moreover, it is reasonable under certain conditions to imagine that it is easier for the Hagedorn states to modify their internal symmetry from the unitary SU ( N ) representation to either an orthogonal O ( N ) symmetry group or a symplectic Sp ( N ) symmetry group. The modification of the composite Hagedorn internal symmetry takes place by either the partial symmetry breaking or the partial symmetry restoration rather than breaking the symmetry group entirely from the colorless state to the colored SU ( N$_{c}$ ) state (i.e. color-non-singlet state). Since the discrete low-lying mass spectrum maintains SU ( N$_{c}$ ) symmetry, the continuous 45