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- W830287616 abstract "We derive a hydrodynamical description of the eigenvalues of the chiral Dirac spectrum in the vacuum and in the large $N$ (volume) limit. The linearized hydrodynamics supports sound waves. The stochastic relaxation of the eigenvalues is captured by a hydrodynamical instanton configuration which follows from a pertinent form of Euler equation. The relaxation from a phase of localized eigenvalues and unbroken chiral symmetry to a phase of de-localized eigenvalues and broken chiral symmetry occurs over a time set by the speed of sound. We show that the time is $Delta tau=pirho(0)/2beta N$ with $rho(0)$ the spectral density at zero virtuality and $beta=1,2,4$ for the three Dyson ensembles that characterize QCD with different quark representations in the ergodic regime." @default.
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- W830287616 date "2016-02-01" @default.
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- W830287616 title "Hydrodynamics of the Dirac spectrum" @default.
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- W830287616 doi "https://doi.org/10.1016/j.physletb.2015.12.032" @default.
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