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

Abstract

In a matrix model of pure $SU(2)$ Yang-Mills theory, boundaries emerge in the space of ${\text{Mat}}_3(\mathbb{R})$ and the Hamiltonian requires boundary conditions. We show the existence of edge localized glueball states which can have negative energies. These edge levels can be lifted to positive energies if the gluons acquire a London-like mass. This suggests a new phase of QCD with an incompressible bulk.

18 pages, 5 figures, minor revison

References in corpus (6)

• A Matrix Model for QCD
• A Matrix Model for QCD: QCD Colour is Mixed
• Glueball Spectra from a Matrix Model of Pure Yang-Mills Theory
• Quantum Phases of Yang-Mills Matrix Model Coupled to Fundamental Fermions
• Quantum Entropy for the Fuzzy Sphere and its Monopoles
• BRST Symmetry: Boundary Conditions and Edge States in QED

Cited by in corpus (2)

• Born-Oppenheimer Quantization of the Matrix Model for $\mathcal{N}=1$ super-Yang-Mills
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