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Emergent Canonical Spin Tensor in the Chiral-Symmetric Hot QCD

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arxiv 2407.14345 v3 pith:A426DJMZ submitted 2024-07-19 hep-ph hep-thnucl-th

classification hep-phhep-thnucl-th
keywords spintensorcanonicalhydrodynamicsambiguityambiguouschiral-symmetricdefinition
verification ladder T0 review T1 audit T2 compute T3 formal

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The spin tensor is fundamental to relativistic spin hydrodynamics, but its definition is ambiguous due to the pseudogauge symmetry. We show that this ambiguity can be solved in interacting field theories. We prove that the mean-field limit of a modified Nambu-Jona-Lasinio model with spin-spin interactions is equivalent to nondissipative spin hydrodynamics with a canonical spin tensor.

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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. Chiral restoration temperature at finite spin density in QCD

    nucl-th 2025-08 conditional novelty 6.0 of 10

    In a linear sigma model, a finite quark spin potential lowers the chiral transition temperature, gives a critical endpoint at 142 MeV and 98 MeV, and restores chiral symmetry at all temperatures above a spin potential...

  2. Generalized relativistic second-order spin hydrodynamics from Zubarev's non-equilibrium statistical operator

    nucl-th 2025-05 conditional novelty 6.0 of 10

    Second-order spin hydrodynamics is extended with nonlocal memory corrections, adding new acceleration-dependent terms to diffusion, rotational stress, and heat-current equations.

  3. Local spin polarization of $\Lambda$ hyperons and its interaction corrections

    nucl-th 2025-08 conditional novelty 2.0 of 10

    The CLVisc hydrodynamic model reproduces the second sine Fourier coefficient of Lambda longitudinal polarization in Au+Au collisions but fails in p+Pb collisions; the paper also surveys quantum kinetic theory and spin...

  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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