Viscosity of an ideal relativistic quantum fluid: A perturbative study

Abstract

We show that a quantized ideal fluid will generally exhibit a small but non-zero viscosity due to the backreaction of quantum soundwaves on the background. We use an effective field theory expansion to estimate this viscosity to first order in perturbation theory. We discuss our results, and whether this estimate can be used to obtain a more model-independent estimate of the "quantum bound" on the viscosity of physical systems

Accepted for publication, Phys.Rev.D. Discussion slightly clarified and extended, references added, error in calculation fixed. COnclusions unchanged

References in corpus (14)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Equation of state and QCD transition at finite temperature
• Beyond eta/s = 1/4pi
• Influence of the shear viscosity of the quark-gluon plasma on elliptic flow in ultrarelativistic heavy-ion collisions
• The stickiness of sound: An absolute lower limit on viscosity and the breakdown of second order relativistic hydrodynamics
• Origin of the Relaxation Time in Dissipative Fluid Dynamics
• The quantum mechanics of perfect fluids
• Is there a "most perfect fluid" consistent with quantum field theory?
• Quark-Gluon Plasmas and Thermalization
• The QGP shear viscosity -- elusive goal or just around the corner?
• A sticky business: the status of the conjectured viscosity/entropy density bound
• The nuclear liquid-gas phase transition at large $N_c$ in the Van der Waals approximation
• Next-to-Leading Order Shear Viscosity in lambda phi^4 Theory

Cited by in corpus (15)

• The ideal relativistic fluid limit for a medium with polarization
• Linear response theory of relativistic hydrodynamics with spin
• Causality and dissipation in relativistic polarizeable fluids
• Fluid Dynamics and Viscosity in Strongly Correlated Fluids
• Sound waves and vortices in a polarized relativistic fluid
• Hydrodynamic fluctuations and the minimum shear viscosity of the dilute Fermi gas at unitarity
• Effective perfect fluids in cosmology
• Shear viscosity from thermal fluctuations in relativistic conformal fluid dynamics
• A Lagrangian formulation of relativistic Israel-Stewart hydrodynamics
• Fluctuating Relativistic hydrodynamics from Crooks theorem
• Indications of a non-trivial vacuum in the effective theory of perfect fluids
• Quantum gravitational anomaly as a dark matter
• Quantum ideal hydrodynamics on the lattice
• Accelerated expansion in the effective field theory of a radiation dominated universe
• Quantum dynamics of perfect fluids