# Spin polarization evolution in a boost invariant hydrodynamical background

## TL;DR

This paper develops a hydrodynamic model incorporating spin to study the evolution of spin polarization in a relativistic, boost-invariant background, linking theoretical predictions with experimental observables.

## Contribution

It introduces a hydrodynamic framework with spin based on established tensor formalisms to analyze spin polarization evolution in high-energy physics.

## Key findings

- Demonstrates how spin polarization evolves in a relativistic fluid
- Provides a method to compare theoretical spin polarization with experimental data
- Extends hydrodynamic models to include spin degrees of freedom

## Abstract

Relativistic hydrodynamic equations for particles with spin one-half are used to determine the space-time evolution of the spin polarization in a boost-invariant and transversely homogeneous background. The hydrodynamic approach uses the forms of the energy-momentum and spin tensors based on de Groot, van Leeuwen, and van Weert formalism. Our calculations illustrate how the formalism of hydrodynamics with spin can be used to determine physical observables related to the spin polarization and how the latter can be compared with the experimental data.