A Lagrangian formulation of relativistic Israel-Stewart hydrodynamics

Abstract

We rederive relativistic hydrodynamics as a Lagrangian effective theory using the doubled coordinates technique, allowing us to include dissipative terms. We include Navier-Stokes shear and bulk terms, as well as Israel-Stewart relaxation time terms, within this formalism. We show how the inclusion of shear viscosity, and the requirement of a bounded energy-momentum "vacuum", forces the inclusion of the Israel-Stewart term into the theory, thereby providing a justification for the origin and uniqueness of these terms.

Version accepted by Phys.Rev.D Typos and errors fixed, discussion streamlined and extended

References in corpus (11)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Highly-anisotropic and strongly-dissipative hydrodynamics for early stages of relativistic 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
• Coupling Relativistic Viscous Hydrodynamics to Boltzmann Descriptions
• Linearized fluid/gravity correspondence: from shear viscosity to all order hydrodynamics
• Constraining relativistic viscous hydrodynamical evolution
• Effective field theory of dissipative fluids
• Classical and quantum effective theories

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