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In a matrix model of pure $SU(2)$ Yang-Mills theory, boundaries emerge in thespace of $\textrm{Mat}_{3}(\mathbb{R})$ and the Hamiltonian requires boundaryconditions. We show the existence of edge localized glueball states which canhave negative energies. These edge levels can be lifted to positive energies ifthe gluons acquire a London-like mass. This suggests a new phase of QCD with anincompressible bulk.

Matrix Model of QCD: Edge Localized Glue Balls and Phase Transitions