Hydrodynamics, spin currents and torsion

Abstract

We construct the canonical constitutive relations for a fluid description of a system with a spin current, valid in an arbitrary number of dimensions in the absence of parity breaking or time reversal breaking terms. Our study encompasses the hydrostatic partition function, the entropy current, Kubo formula, conformal invariance, and the effect of charge. At some stages of the computation we turn on a background torsion tensor which naturally couples to the spin current.

46 pages + appendices

References in corpus (36)

• Angular momentum conservation in heavy ion collisions at very high energy
• Thermal Dileptons at LHC
• Heavy-Quark Kinetics in the QGP at LHC
• Polarization probes of vorticity in heavy ion collisions
• Superfluid spin transport through antiferromagnetic insulators
• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
• Local polarization and isothermal local equilibrium in relativistic heavy ion collisions
• Cardy Formulae for SUSY Theories in d=4 and d=6
• Entropy Current in Conformal Hydrodynamics
• Spin Hydrodynamics and Symmetric Energy-Momentum Tensors -- A current induced by the spin vorticity --
• Hydrodynamics of spin currents
• Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
• Non-dissipative second-order transport, spin, and pseudo-gauge transformations in hydrodynamics
• Derivation of the nonlocal collision term in the relativistic Boltzmann equation for massive spin-1/2 particles from quantum field theory
• Reexamination of local spin polarization beyond global equilibrium in relativistic heavy ion collisions
• The eightfold way to dissipation
• Aspects of hot Galilean field theory
• Relativistic Viscous Hydrodynamics with Angular Momentum
• Spin polarization dynamics in the Gubser-expanding background
• Analytic solutions of relativistic dissipative spin hydrodynamics with Bjorken expansion
• Dissipationless Multiferroic Magnonics
• Entropy Current from Partition Function: One Example
• Pseudogauge dependence of the spin polarization and of the axial vortical effect
• Hydrodynamics in 1+1 dimensions with gravitational anomalies
• Quantum Kinetic Theory for Quantum Electrodynamics
• Spin Polarization Formula for Dirac Fermions at Local Equilibrium
• Spin relaxation rate for heavy quarks in weakly coupled QCD plasma
• New Developments in Relativistic Fluid Dynamics with spin
• Pseudo-gauge dependence of quantum fluctuations of energy in a hot relativistic gas of fermions
• Second-order partition function of a non-interacting chiral fluid in 3+1 dimensions
• Spin polarization dynamics in the Bjorken-expanding resistive MHD background
• Quantum Kinetic Theory with Vector and Axial Gauge Fields
• Chiral Torsional Effects in Anomalous Fluids in Thermal Equilibrium
• Dilepton Helical Production in a Vortical Quark-Gluon Plasma
• Conserved and non-conserved Noether currents from the quantum effective action
• On Nieh-Yan Transport

Cited by in corpus (18)

• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• Theories of Relativistic Dissipative Fluid Dynamics
• New developments in relativistic magnetohydrodynamics
• Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
• An introduction to relativistic spin hydrodynamics
• Emergent Canonical Spin Tensor in the Chiral-Symmetric Hot QCD
• Relativistic second-order spin hydrodynamics: A Kubo-type formulation for the quark-gluon plasma
• Dissipative fracton superfluids
• Second-order spin hydrodynamics from Zubarev's nonequilibrium statistical operator formalism
• Semi-Classical Spin Hydrodynamics in Flat and Curved Spacetime: Covariance, Linear Waves, and Bjorken Background
• A supersymmetric spin current
• On the non-uniqueness of the energy-momentum and spin currents
• Guiding center hydrodynamics with spin
• A complex scalar field theory for charged fluids, superfluids, and fracton fluids
• Thermal response of the Nieh-Yan term
• Perfect spinfluid: A divergence-type approach
• On the local thermodynamic relations in relativistic spin hydrodynamics
• Theoretical aspects of relativistic spin hydrodynamics coupled with electromagnetic fields