hydrodynamics of the dirac spectrum

hydrodynamics of the dirac spectrum

;Yizhuang Liu;Piotr Warchoł;Ismail Zahed
ACS chemical biology 2016 Vol. 753 pp. 303-307
97
liu2016physicshydrodynamics

Abstract

We discuss a hydrodynamical description of the eigenvalues of the Dirac spectrum in even dimensions in the vacuum and in the large N (volume) limit. The linearized hydrodynamics supports sound waves. The hydrodynamical relaxation of the eigenvalues is captured by a hydrodynamical (tunneling) minimum configuration which follows from a pertinent form of Euler equation. The relaxation from a phase of unbroken chiral symmetry to a phase of broken chiral symmetry occurs over a time set by the speed of sound.

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197157
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10.1016/j.physletb.2015.12.032
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