Corpus ID: 236493210

Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation

  title={Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation},
  author={Masaru Hongo and Xu-Guang Huang and Matthias Kaminski and Mikhail A. Stephanov and Ho-Ung Yee},
Using the second law of local thermodynamics and the first-order Palatini formalism, we formulate relativistic spin hydrodynamics for quantum field theories with Dirac fermions, such as QED and QCD, in a torsionful curved background. We work in a regime where spin density, which is assumed to relax much slower than other non-hydrodynamic modes, is treated as an independent degree of freedom in an extended hydrodynamic description. Spin hydrodynamics in our approach contains only three non… Expand

Figures from this paper

Quantum Kinetic Theory for Quantum Electrodynamics
  • Shu Lin
  • Physics
  • 2021
We derive a quantum kinetic theory for QED including both elastic and inelastic collisions with screening effect. By assuming parity invariance at the lowest order in ~, we find the classical limitExpand
Quantum Kinetic Theory with Vector and Axial Gauge Fields
  • Zhou Chen, Shu Lin
  • Physics
  • 2021
Abstract In this paper we introduce the axial gauge field to the framework of the quantum kinetic theory with vector gauge field in the massless limit. Treating axial-gauge field on an equal footingExpand


Relativistic hydrodynamics for spin-polarized fluids
Recent progress in the formulation of relativistic hydrodynamics for particles with spin one-half is reviewed. We start with general arguments advising introduction of a tensor spin chemicalExpand
From chiral kinetic theory to relativistic viscous spin hydrodynamics
  • Shuzhe Shi, C. Gale, Sangyong Jeon
  • Physics
  • 2021
In this paper, we start with chiral kinetic theory and construct the spin hydrodynamic framework for a chiral spinor system. Using the 14-moment expansion formalism, we obtain the equations of motionExpand
Spin tensor and pseudo-gauges: from nuclear collisions to gravitational physics
The relativistic treatment of spin is a fundamental subject which has an old history. In various physical contexts it is necessary to separate the relativistic total angular momentum into an orbitalExpand
Relativistic quantum kinetic theory for massive fermions and spin effects
We present the complete first order relativistic quantum kinetic theory with spin for massive fermions derived from the Wigner function formalism in a concise form that shows explicitly how the 32Expand
Axial kinetic theory and spin transport for fermions with arbitrary mass
We derive the quantum kinetic theory for fermions with arbitrary mass in a background electromagnetic field from the Wigner-function approach. Since spin of massive fermions is a dynamical degree ofExpand
The ideal relativistic rotating gas as a perfect fluid with spin
Abstract We show that the ideal relativistic spinning gas at complete thermodynamical equilibrium is a fluid with a non-vanishing spin density tensor σμν. After having obtained the expression of theExpand
Relativistic fluid dynamics with spin
Using the conservation laws for charge, energy, momentum, and angular momentum, we derive hydrodynamic equations for the charge density, local temperature, and fluid velocity, as well as for the spinExpand
Spin tensor and its role in non-equilibrium thermodynamics
Abstract It is shown that the description of a relativistic fluid at local thermodynamic equilibrium depends on the particular quantum stress-energy tensor operator chosen, e.g., the canonical orExpand
Fate of spin polarization in a relativistic fluid: An entropy-current analysis
Abstract We derive relativistic hydrodynamic equations with a dynamical spin degree of freedom on the basis of an entropy-current analysis. The first and second laws of local thermodynamics constrainExpand
Constraints on fluid dynamics from equilibrium partition functions
A bstractWe study the thermal partition function of quantum field theories on arbitrary stationary background spacetime, and with arbitrary stationary background gauge fields, in the long wavelengthExpand