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Title: 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 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.
Authors:
 [1] ;  [2] ;  [1]
  1. Stony Brook Univ., Stony Brook, NY (United States)
  2. Jagiellonian Univ., Krakow (Poland)
Publication Date:
Grant/Contract Number:
FG-88ER40388; DEC-2011/02/A/ST1/00119; UMO-2013/08/T/ST2/00105
Type:
Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 753; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Research Org:
State Univ. of New York, Albany, NY (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
OSTI Identifier:
1229798
Alternate Identifier(s):
OSTI ID: 1242351