Resummed spin hydrodynamics from quantum kinetic theory

TL;DR

This paper derives second-order dissipative relativistic spin hydrodynamics equations from quantum kinetic theory using a resummation scheme, providing a detailed description of spin dynamics with explicit transport coefficients.

Contribution

It introduces a novel resummation scheme based on inverse-Reynolds dominance for deriving accurate second-order spin hydrodynamics equations from quantum kinetic theory.

Findings

Eleven equations describe spin potential and tensor evolution.

Explicit first- and second-order transport coefficients are computed.

The approach improves the theoretical understanding of spin hydrodynamics.

Abstract

In this work, the equations of dissipative relativistic spin hydrodynamics based on quantum kinetic theory are derived. Employing the inverse-Reynolds dominance (IReD) approach, a resummation scheme based on a power counting in Knudsen and inverse Reynolds numbers is constructed, leading to hydrodynamic equations that are accurate to second order. It is found that the spin dynamics can be characterized by eleven equations: six of them describe the evolution of the components of the spin potential, while the remaining five provide the equation of motion of a dissipative irreducible rank-two tensor. For a simple truncation, the first- and second-order transport coefficients are computed explicitly.