Hydrodynamics of the Dirac spectrum

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• 作者：Yizhuang Liu^a ; ^{yizhuang.liu@stonybrook.edu" class="auth_mail" title="E-mail the corresponding author} ; Piotr Warchoł^b ; ^{piotr.warchol@uj.edu.pl" class="auth_mail" title="E-mail the corresponding author} ; Ismail Zahed^a ; ^{ismail.zahed@stonybrook.edu" class="auth_mail" title="E-mail the corresponding author}
• 刊名：Physics Letters B
• 出版年：2016
• 出版时间：10 February 2016
• 年：2016
• 卷：753
• 期：Complete
• 页码：303-307
• 全文大小：311 K

文摘

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.