Shear viscosity of the quark matter

2007/03/31 by Masaharu Iwasaki, Hiromasa Ohnishi, Takahiko Fukutome · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Pulsars and Gravitational Waves Research #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1088/0954-3899/35/3/035003

5 pages, 6 figures

arxiv created 2007/05/14 · openalex publication_date 2008/01/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We discuss shear viscosity of the quark matter by using the Kubo formula and the Nambu–Jona–Lasinio model. It is shown that the leading term of 1/ N expansion for the shear viscosity is equivalent to the quasi-particle random phase approximation. Using this approximation, we obtain a formula that the shear viscosity is expressed by the quadratic form of the quark spectral function in the chiral symmetric phase. If we assume the Breit–Wigner type for the spectral function, the shear viscosity is evaluated as a function of the imaginary part of the quark self-energy, which is related to the mean-free path of the quark. It is pointed out that the quark matter seems to be a perfect liquid for the mean free path <2 fm.

Citations

• Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Transport, Collective Motion, and Brownian Motion

Cited by

• Shear viscosity and phase diagram from Polyakov–Nambu–Jona-Lasinio model
• Shear viscosity η to electrical conductivity σel ratio for an anisotropic QGP
• Bulk viscosity of two-flavor quark matter from the Kubo formalism