Hydrodynamics of the Dirac spectrum

• Published in: Physics letters. B Vol. 753; no. C; pp. 303 - 307
• Main Authors: Liu, Yizhuang, Warchoł, Piotr, Zahed, Ismail
• Format: Journal Article
• Language: English
• Published: Netherlands Elsevier B.V 10.02.2016; Elsevier
• Subjects: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

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...