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.

arXiv comment5 pages, comments welcome. v2: updated discussion. v3: version accepted for publication

References in corpus (57)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• High-Energy Tests of Lorentz Invariance
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• QCD and strongly coupled gauge theories: challenges and perspectives
• The angular momentum controversy: What's it all about and does it matter?
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• Relativistic fluid dynamics with spin
• Polarization and Vorticity in the Quark Gluon Plasma
• Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
• Relativistic hydrodynamics for spin-polarized fluids
• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
• Generating spin polarization from vorticity through nonlocal collisions
• Relativistic dissipative spin dynamics in the relaxation time approximation
• Transverse Charge Densities
• Spin tensor and its role in non-equilibrium thermodynamics
• Spin Hydrodynamics and Symmetric Energy-Momentum Tensors -- A current induced by the spin vorticity --
• Analogy between rotation and density for Dirac fermions in a magnetic field
• Hydrodynamics of spin currents
• Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
• From Chiral Kinetic Theory To Relativistic Viscous Spin Hydrodynamics
• Non-dissipative second-order transport, spin, and pseudo-gauge transformations in hydrodynamics
• Spin-dependent distribution functions for relativistic hydrodynamics of spin-1/2 particles
• The ideal relativistic fluid limit for a medium with polarization
• Dissipative Spin Dynamics in Relativistic Matter
• Relativistic second-order dissipative spin hydrodynamics from the method of moments
• Spin tensor and pseudo-gauges: from nuclear collisions to gravitational physics
• From Kadanoff--Baym to Boltzmann equations for massive spin-1/2 fermions
• Rotating quantum states
• Relativistic hydrodynamics from quantum field theory on the basis of the generalized Gibbs ensemble method
• Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
• Fierz-complete NJL model study III: Emergence from quark-gluon dynamics
• Spin polarization dynamics in the Gubser-expanding background
• Relativistic Viscous Hydrodynamics with Angular Momentum
• Sound waves and vortices in a polarized relativistic fluid
• Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term
• Perfect-fluid hydrodynamics with constant acceleration along the stream lines and spin polarization
• Relativistic second-order spin hydrodynamics: an entropy-current analysis
• Local and global polarization of $\Lambda$ hyperons across RHIC-BES energies: the roles of spin hall effect, initial condition and baryon diffusion
• Thermodynamical inequivalence of quantum stress-energy and spin tensors
• Fierz-complete NJL model study: fixed points and phase structure at finite temperature and density
• Holographic spin liquids and Lovelock Chern-Simons gravity
• Hydrodynamics, spin currents and torsion
• Gyrohydrodynamics: Relativistic spinful fluid with strong vorticity
• Fierz-complete NJL model study II: towards the fixed-point and phase structure of hot and dense two-flavor QCD
• Canonical and phenomenological formulations of spin hydrodynamics
• Pseudogauge dependence of the spin polarization and of the axial vortical effect
• Spin Polarization Formula for Dirac Fermions at Local Equilibrium
• Path-integral formula for local thermal equilibrium
• Pseudo-gauge dependence of quantum fluctuations of energy in a hot relativistic gas of fermions
• Pseudogauge freedom and the SO(3) algebra of spin operators
• Magnetism and rotation in relativistic field theory
• Synchrotron radiation by slowly rotating fermions
• The Chiral Separation Effect from lattice QCD at the physical point
• Does the spin tensor play any role in non-gravitational physics?
• Conserved and non-conserved Noether currents from the quantum effective action

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• 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