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

@article{Hongo2021RelativisticSH, 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}, journal={Journal of High Energy Physics}, year={2021} }

Abstract
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…

## 14 Citations

### Spin relaxation rate for heavy quarks in weakly coupled QCD plasma

- PhysicsJournal of High Energy Physics
- 2022

We compute the relaxation rate of the spin density of heavy quarks in a perturbative QCD plasma to leading-log order in the coupling constant g . The spin relaxation rate Γ s in spin hydrodynamics is…

### Stability studies of first order spin-hydrodynamic frameworks

- Physics
- 2022

We study the stability of ﬁrst-order dissipative spin-hydrodynamic frameworks. We considered two diﬀerent ﬁrst-order dissipative spin-hydrodynamic frameworks. The ﬁrst one considers the spin chemical…

### Spin waves in spin hydrodynamics

- PhysicsPhysical Review D
- 2022

The propagation properties of spin degrees of freedom are analyzed in the framework of relativistic hydrodynamics with spin based on the de Groot–van Leeuwen–van Weert deﬁnitions of the…

### Equivalence of canonical and phenomenological formulations of spin hydrodynamics

- Physics
- 2022

Two formulations of relativistic hydrodynamics of particles with spin 1/2 are compared. The first one uses expressions for the energy-momentum and spin tensors that have properties that follow a…

### Quantum kinetic theory for quantum electrodynamics

- PhysicsPhysical Review D
- 2022

We derive a quantum kinetic theory for QED based on Kadanoﬀ-Baym equations for Wigner functions. By assuming parity invariance and considering a complete set of self-energy diagrams, we ﬁnd the…

### Spin polarization dynamics in the non-boost-invariant background

- PhysicsPhysical Review D
- 2022

Space-time evolution of spin polarization within the framework of hydrodynamics with spin based on de Groot van Leeuwen van Weert forms of energy-momentum and spin tensors is studied. Due to the…

### Canonical and phenomenological formulations of spin hydrodynamics

- Physics
- 2022

Two formulations of relativistic hydrodynamics of particles with spin 1 / 2 are compared. The ﬁrst approach, dubbed the canonical one, uses expressions for the energy-momentum and spin tensors that…

### Quantum kinetic theory with vector and axial gauge fields

- PhysicsPhysical Review D
- 2022

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 footing…

### Gyrohydrodynamics:Relativisticspinfulﬂuid with strong vorticity

- Physics, Education
- 2022

We develop a relativistic (quasi-)hydrodynamic framework, dubbed the gyrohydrodynamics to describe ﬂuid dynamics of many-body systems with spin under strong vorticity based on entropy-current…

### Hydrodynamics, spin currents and torsion

- Physics
- 2022

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…

## References

SHOWING 1-10 OF 106 REFERENCES

### From chiral kinetic theory to relativistic viscous spin hydrodynamics

- 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 motion…

### Relativistic hydrodynamics for spin-polarized fluids

- PhysicsProgress in Particle and Nuclear Physics
- 2019

### Relativistic quantum kinetic theory for massive fermions and spin effects

- PhysicsPhysical Review D
- 2019

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 32…

### Relativistic fluid dynamics with spin

- Physics
- 2018

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 spin…

### Spin tensor and pseudo-gauges: from nuclear collisions to gravitational physics

- PhysicsThe European Physical Journal A
- 2020

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 orbital…

### Effective quantum kinetic theory for spin transport of fermions with collsional effects

- PhysicsJournal of High Energy Physics
- 2020

We systematically derive the collision term for the axial kinetic theory, a quantum kinetic theory delineating the coupled dynamics of the vector/axial charges and spin transport carried by the…

### Axial kinetic theory and spin transport for fermions with arbitrary mass

- PhysicsPhysical Review D
- 2019

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 of…

### Fate of spin polarization in a relativistic fluid: An entropy-current analysis

- PhysicsPhysics Letters B
- 2019