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Quantum Phases of Yang-Mills Matrix Model Coupled to Fundamental Fermions
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Quantum Phases of Yang-Mills Matrix Model Coupled to Fundamental Fermions
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By investigating the $SU(2)$ Yang-Mills matrix model coupled to fundamental fermions in the adiabatic limit, we demonstrate quantum critical behaviour at special corners of the gauge field configuration space. The quantum scalar potential for the gauge field induced by the fermions diverges at the corners, and is intimately related to points of enhanced degeneracy of the fermionic Hamiltonian. This in turn leads to superselection sectors in the Hilbert space of the gauge field, the ground states in different sectors being orthogonal to each other. As a consequence of our analysis, we show that 2-color QCD coupled to two Weyl fermions has three quantum phases. When coupled to a massless Dirac fermion, the number of quantum phases is four. One of these phases is the color-spin locked phase.
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Cited by 1 Pith paper
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Quantum phases at high chemical potential in 2-flavor matrix-QC$_2$D
In a matrix model of two-flavor two-color QCD, large baryon/isospin/chiral chemical potentials produce a web of quantum phases, including spin-1 LOFF-like states whose quark spin fraction can approach one.
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