New Developments in Relativistic Fluid Dynamics with spin

TL;DR

This paper reviews recent advances in relativistic fluid dynamics incorporating spin, focusing on theoretical formulations and their application to predict spin polarization phenomena in heavy-ion collisions.

Contribution

It introduces new formulations of hydrodynamics with spin, including viscous corrections, and applies them to analyze spin polarization in relativistic heavy-ion collisions.

Findings

Formulation of hydrodynamics with spin for perfect fluids and viscous corrections

Calculation of spin kinetic coefficients

Prediction of $ ext{Lambda}$-particle spin polarization in collisions

Abstract

In this work, we briefly review the progress made in the formulation of hydrodynamics with spin with emphasis on the application to the relativistic heavy-ion collisions. In particular, we discuss the formulation of hydrodynamics with spin for perfect-fluid and the first order viscous corrections with some discussion on the calculation of spin kinetic coefficients. Finally, we apply relativistic hydrodynamics with spin to the relativistic heavy-ion collisions to calculate the spin polarization of $\Lambda$-particles.