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A Lagrangian formulation of relativistic Israel-Stewart hydrodynamics

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arxiv 1604.05291 v3 pith:KMMKPVKT submitted 2016-04-18 hep-th hep-phnucl-thphysics.flu-dyn

classification hep-thhep-phnucl-thphysics.flu-dyn
keywords termsisrael-stewarthydrodynamicsincludeinclusionlagrangianrelativisticshear
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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.

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Cited by 2 Pith papers

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  1. Wilsonian renormalisation group and thermal field theory in the Schwinger-Keldysh closed-time-path formalism

    hep-th 2025-01 conditional novelty 6.0 of 10

    A one-loop Schwinger-Keldysh Wilsonian RG calculation generates a dissipative cross-coupling between time branches and predicts two reduced-space fixed points in d=4, related to the Gaussian and Wilson-Fisher fixed points.

  2. Causality of polarizeable dissipative fluids from Lagrangian hydrodynamics

    nucl-th 2025-06 conditional novelty 5.0 of 10

    In a Lagrangian model of polarized dissipative fluids, causality couples the spin, shear, and bulk relaxation times through inequalities that can make polarization mask viscosity.

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