Bulk viscosity of two-flavor quark matter from the Kubo formalism

2017/05/31 by Arus Harutyunyan, Armen Sedrakian
Physics and Astronomy · #Condensed matter physics #High-Energy Particle Collisions Research #Kubo formula #Particle physics #Physics #Pulsars and Gravitational Waves Research #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Quark–gluon plasma #Resummation #Strange matter #Thermodynamics #Viscosity #Volume viscosity #astro-ph.HE #astro-ph.SR #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.96.034006

published as Physical Review D 96, 034006 (2017) · v2: matches published version, 18 pages, 19 figures, uses RevTeX

openalex publication_date 2017/08/07 · arxiv created 2017/08/24 · arxiv updated 2017/08/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the bulk viscosity of quark matter in the strong coupling regime within the two-flavor Nambu--Jona-Lasinio model. The dispersive effects that lead to nonzero bulk viscosity arise from quark-meson fluctuations above the Mott transition temperature, where meson decay into two quarks is kinematically allowed. We adopt the Kubo-Zubarev formalism and compute the equilibrium imaginary-time correlation function for pressure in the O(1/N_c) power counting scheme. The bulk viscosity of matter is expressed in terms of the Lorentz components of the quark spectral function and includes multiloop contributions which arise via resummation of infinite geometrical series of loop diagrams. We show that the multiloop contributions dominate the single-loop contribution close to the Mott line, whereas at high temperatures the one-loop contribution is dominant. The multiloop bulk viscosity dominates the shear viscosity close to the Mott temperature by factors 5 to 20, but, with increasing temperature, the shear viscosity becomes the dominant dissipation mechanism of stresses as the one-loop contribution becomes the main source of bulk viscosity.

Citations

• Bulk viscosity of strange quark matter: Urca versus nonleptonic processes
• Shear viscosity of the quark matter
• Anisotropic hydrodynamics, bulk viscosities, andr-modes of strange quark stars with strong magnetic fields
• Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems
• Bulk viscosity in kaon-condensed color–flavor-locked quark matter
• Bulk viscosity of hot dense Quark matter in the PNJL model
• Universal properties of bulk viscosity near the QCD phase transition
• Bulk viscosity due to kaons in color-flavor-locked quark matter
• Baryon number conservation and enforced electric charge neutrality for bulk viscosity in quark matter
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Transport coefficients from the Nambu–Jona-Lasinio model for SU(3)<mml:mrow/>f