Hydrodynamics of the Dirac spectrum

Yizhuang Liu; Piotr Warchoł; Ismail Zahed

doi:10.1016/j.physletb.2015.12.032

Hydrodynamics of the Dirac spectrum

Yizhuang Liu
, Piotr Warchoł
, Ismail Zahed

Physics and Astronomy

Stony Brook University
Jagiellonian University in Kraków

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	303-307
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	753
DOIs	https://doi.org/10.1016/j.physletb.2015.12.032
State	Published - Feb 10 2016

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10.1016/j.physletb.2015.12.032

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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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N2 - 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.

AB - 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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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

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ER -

Hydrodynamics of the Dirac spectrum

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