Hydrodynamics of the Dirac spectrum

Journal Article · Mon Feb 01 00:00:00 EST 2016 · Physics Letters B

DOI:https://doi.org/10.1016/j.physletb.2015.12.032· OSTI ID:1229798

Liu, Yizhuang; Warchoł, Piotr; Zahed, Ismail

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. As a result, 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.

• Research Organization: State Univ. of New York (SUNY), Albany, NY (United States)
• Sponsoring Organization: USDOE
• Grant/Contract Number: FG-88ER40388; DEC-2011/02/A/ST1/00119; UMO-2013/08/T/ST2/00105
• OSTI ID: 1229798
• Alternate ID(s): OSTI ID: 1242351
• Journal Information: Physics Letters B, Journal Name: Physics Letters B Vol. 753 Journal Issue: C; ISSN 0370-2693
• Publisher: Elsevier
• Country of Publication: Netherlands
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS