Intrinsic ambiguity in second order viscosity parameters in relativistic hydrodynamics

Abstract

We show that relativistic hydrodynamics in Minkowski space-time has intrinsic ambiguity in second order viscosity parameters in the Landau-Lifshitz frame. This stems from the possibility of improvements of energy-momentum tensor. There exist at least two viscosity parameters which can be removed by using this ambiguity in scale invariant hydrodynamics in (1+3) dimension, and seemingly non-conformal hydrodynamic theories can be hiddenly conformal invariant.

5 pages

References in corpus (3)

• Dissipative relativistic fluid dynamics: a new way to derive the equations of motion from kinetic theory
• Relativistic Viscous Fluid Dynamics and Non-Equilibrium Entropy
• Relativistic Dissipative Hydrodynamics: A Minimal Causal Theory

Cited by in corpus (6)

• Nonequilibrium Thermodynamical Inequivalence of Quantum Stress-energy and Spin Tensors
• Pseudo-gauge dependence of quantum fluctuations of energy in a hot relativistic gas of fermions
• Hyperscaling-Violating Lifshitz hydrodynamics from black-holes: Part II
• Fluid/gravity correspondence and the CFM black brane solutions
• Dynamical constraints on pseudo-gauge transformations
• Quantum statistical fluctuation of energy and its novel pseudo-gauge dependence