Hot and Dense QCD Shear Viscosity at Leading Log

Abstract

The leading-order weak-coupling shear viscosity of QCD was computed almost 20 years ago, and the extension to next-to-leading order is 4 years old. But these results have never been applied at finite baryon chemical potential $\mu$, despite the fact that intermediate-energy heavy ion collisions and merging neutron stars may explore the Quark-Gluon Plasma in a regime where baryon chemical potentials are large. Here we extend the leading-log shear viscosity calculation to finite $\mu$, and we argue that the convergence of the weak-coupling expansion, while questionable for achievable plasmas, should be better at $\mu >T$ than at $\mu =0$.

References in corpus (6)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• On the Strongly-Interacting Low-Viscosity Matter Created in Relativistic Nuclear Collisions
• Second order hydrodynamic coefficients from kinetic theory
• Three-dimensional physics and the pressure of hot QCD
• Transport coefficients of the quark-gluon plasma at the critical point and across the first-order line
• QCD at finite chemical potential in and out-of equilibrium

Cited by in corpus (6)

• Theoretical and Experimental Constraints for the Equation of State of Dense and Hot Matter
• Hot QCD Phase Diagram From Holographic Einstein-Maxwell-Dilaton Models
• Soft gluon self-energy at finite temperature and density: hard NLO corrections in general covariant gauge
• Shear and bulk viscosity for a pure glue theory using an effective matrix model
• Transport-based initial conditions for heavy-ion collisions at finite densities
• Shear viscosity from perturbative Quantum Chromodynamics to the hadron resonance gas at finite baryon, strangeness, and electric charge densities