Space-like singularities in the c=1 matrix model are artifacts of the double scaling limit; beyond it, Fermi surface folds proliferate and the coarse-grained phase space density relaxes to equilibrium via a universal power-law independent of initial state details.
The Quantum Collective Field Method and Its Application to the Planar Limit
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In simple zero-dimensional matrix models the secondary invariants of the gauge-invariant ring correspond to distinguished non-perturbative states.
Bilocal holography yields a remarkably local bulk reconstruction formula that agrees with standard methods once boundary data and gauge-fixed variables are matched, while clarifying subregion duality.
Derives the effective Hamiltonian in the collective field framework for three-matrix quantum mechanics models and analyzes the stability of the vacuum solution.
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Fate of "Space-like singularities" in $c=1$ Matrix Model
Space-like singularities in the c=1 matrix model are artifacts of the double scaling limit; beyond it, Fermi surface folds proliferate and the coarse-grained phase space density relaxes to equilibrium via a universal power-law independent of initial state details.
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Secondary invariants and non-perturbative states
In simple zero-dimensional matrix models the secondary invariants of the gauge-invariant ring correspond to distinguished non-perturbative states.
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Bulk Reconstruction in Bilocal Holography
Bilocal holography yields a remarkably local bulk reconstruction formula that agrees with standard methods once boundary data and gauge-fixed variables are matched, while clarifying subregion duality.
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Multi-Matrix Quantum Mechanics, Collective Fields and Emergent Space
Derives the effective Hamiltonian in the collective field framework for three-matrix quantum mechanics models and analyzes the stability of the vacuum solution.