The charge-sector coefficient of the Type-IIB axion-dilaton wormhole partition function is shown to be a chiral Wishart hard-edge limit of the D(-1)/D3 super-ADHM collective-coordinate integral.
Spectral Density of the QCD Dirac Operator near Zero Virtuality
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abstract
We investigate the spectral properties of a random matrix model, which in the large $N$ limit, embodies the essentials of the QCD partition function at low energy. The exact spectral density and its pair correlation function are derived for an arbitrary number of flavors and zero topological charge. Their microscopic limit provide the master formulae for sum rules for the inverse powers of the eigenvalues of the QCD Dirac operator as recently discussed by Leutwyler and Smilga.
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A novel random matrix model for the QCD Kondo phase is solved in the large-N limit, revealing three phases and deriving low-energy effective theories for Nambu-Goldstone modes.
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The Chiral Random-Matrix Ensemble of the Type-IIB Axion--Dilaton Wormhole Partition Function
The charge-sector coefficient of the Type-IIB axion-dilaton wormhole partition function is shown to be a chiral Wishart hard-edge limit of the D(-1)/D3 super-ADHM collective-coordinate integral.
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Analysis of the QCD Kondo phase using random matrices
A novel random matrix model for the QCD Kondo phase is solved in the large-N limit, revealing three phases and deriving low-energy effective theories for Nambu-Goldstone modes.