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Causality and dissipation in relativistic polarizeable fluids

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arxiv 1807.02796 v2 pith:26C7CBRX submitted 2018-07-08 hep-th hep-phnucl-th

David Montenegro , Giorgio Torrieri This is my paper · ORCID
classification hep-thhep-phnucl-th
keywords causalityrelativistictermdissipationfluidlimitlinkingmedium
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We analyze the breakdown of causality for the perfect fluid limit in a medium with polarizeability. We show that to restore causality a relaxation term linking vorticity and polarization, analogous to the Israel-Stewart term linking viscous forces and gradients,is required. This term provides a minimum amount of dissipation a locally thermalized relativistic medium with polarizeability must have, independently of its underlying degrees of freedom. For ferromagnetic materials an infrared acausal mode remains, which we interpret as a Banks-Casher mode signaling spontaneous magnetization. With these ingredients, we propose a candidate for a fully causal Lagrangian of a relativistic polarizeable system near the perfect fluid limit.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Spin polarization of an expanding and rotating system

    nucl-th 2024-12 conditional novelty 6.0 of 10

    Derives closed equations for spin moments and a first-order longitudinal polarization formula for a boost-invariant, rotating relativistic fluid, connecting free streaming to hydrodynamics.

  2. Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions

    hep-ph 2024-11 conditional novelty 6.0 of 10

    Solving perfect spin hydrodynamics on a realistic 3+1D Au+Au background requires the spin evolution to start near 4 fm/c to describe Lambda polarization data.

  3. 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.

  4. An introduction to relativistic spin hydrodynamics

    nucl-th 2024-11 accept novelty 1.0 of 10

    A review that derives the constitutive equations of relativistic spin hydrodynamics from thermodynamics and surveys challenges like pseudo-gauge ambiguity and spin freeze-out.

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