Hydrodynamics of the Dirac spectrum

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...

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Bibliographic Details
Published inPhysics letters. B Vol. 753; no. C; pp. 303 - 307
Main Authors Liu, Yizhuang, Warchoł, Piotr, Zahed, Ismail
Format Journal Article
LanguageEnglish
Published Netherlands Elsevier B.V 10.02.2016
Elsevier
Subjects
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
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Summary: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.
Bibliography:USDOE
FG-88ER40388; DEC-2011/02/A/ST1/00119; UMO-2013/08/T/ST2/00105
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2015.12.032