Linear response theory of relativistic hydrodynamics with spin

Abstract

We use linear response techniques to develop the previously proposed relativistic ideal fluid limit with a non-negligible spin density. We confirm previous results and obtain expressions for the microscopic transport coefficients using Kubo-like formulae and buld up the effective field theory from the computed correlation functions. We also confirm that polarization makes vortices aquire an effective mass via a mechanism similar to the Anderson-Higgs mechanism in superconductors. As speculated earlier, this could stabilize the ideal hydrodynamic limit against fluctuation-driven vortices

arXiv commentDiscussion clarified and reorganized, typos fixed

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Cited by in corpus (52)

• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• Generating spin polarization from vorticity through nonlocal collisions
• Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
• Derivation of the nonlocal collision term in the relativistic Boltzmann equation for massive spin-1/2 particles from quantum field theory
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• Relativistic Spin Magnetohydrodynamics
• The Present and Future of QCD
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• Relativistic second-order spin hydrodynamics: an entropy-current analysis
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• Spin polarization dynamics in the non-boost-invariant background
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• Kubo formulae for first-order spin hydrodynamics
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• Hybrid approach to perfect and dissipative spin hydrodynamics
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• Lorentz-covariant kinetic theory for massive spin-1/2 particles
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• Fluctuating Relativistic hydrodynamics from Crooks theorem
• An introduction to relativistic spin hydrodynamics
• Cross effects in spin hydrodynamics: A revisit Entropy analysis and statistical operator
• Linear response hydrodynamics of a relativistic dissipative fluid with spin
• Transport coefficients in AdS/CFT and quantum gravity corrections due to a functional measure
• Boost-invariant spin hydrodynamics with spin feedback effects
• Relativistic second-order spin hydrodynamics: A Kubo-type formulation for the quark-gluon plasma
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• Field Theory Approaches to Relativistic Hydrodynamics
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• Electromagnetic radiation at extreme angular velocity
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• Anisotropic linear waves and breakdown of the momentum expansion in spin magnetohydrodynamics
• Kubo formulas for spin polarization in dissipative relativistic spin hydrodynamics: a first-order gradient expansion approach
• Application range of perfect spin hydrodynamics
• Estimating Longitudinal Polarization of $\Lambda$ and $\bar{\Lambda }$ Hyperons at Relativistic Energies using Hydrodynamic and Transport models
• Hybrid framework of Fermi-Dirac spin hydrodynamics
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