Relation Between Two Approaches of the Colour Hydrodynamics

TL;DR

This paper explores the relationship between two versions of colour hydrodynamics in quark-gluon plasma, showing they become identical under certain conditions, thus clarifying their connection.

Contribution

It demonstrates the conditions under which two different formulations of colour hydrodynamics are equivalent, clarifying their relationship in the context of quark-gluon plasma.

Findings

The two hydrodynamic approaches are equivalent if the colour charges are the same.

The work provides a theoretical link between different hydrodynamic formulations.

Clarifies the conditions for the applicability of each hydrodynamic version.

Abstract

It is argued that the short time scale phenomena can be studied within the framework of hydrodynamics in the quark-gluon plasma. There are two different versions of the hydrodynamic-like equations in the literature. In this work we discuss the possible relationship between these versions. In particular we show that if the colour charges associated with the velocity and density matrices in the matrix version of hydrodynamics are same then both the versions of the hydrodynamics become identical.