Emergent Canonical Spin Tensor in the Chiral-Symmetric Hot QCD

Abstract

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.

5 pages, comments welcome. v2: updated discussion. v3: version accepted for publication

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Cited by in corpus (8)

• Relativistic second-order spin hydrodynamics: A Kubo-type formulation for the quark-gluon plasma
• Dynamical constraints on pseudo-gauge transformations
• Chiral and deconfinement transitions in spin-polarized quark matter
• Chiral and deconfinement thermal transitions at finite quark spin polarization in lattice QCD simulations
• Kubo formulas for spin polarization in dissipative relativistic spin hydrodynamics: a first-order gradient expansion approach
• Semi-Classical Spin Hydrodynamics in Flat and Curved Spacetime: Covariance, Linear Waves, and Bjorken Background
• Chiral restoration temperature at finite spin density in QCD
• Energy-momentum tensor form factors and spin density distribution in the nucleon calculated in a quantized Skyrme model with vector mesons