Equation of State within Gluon Dominated QGP Model in Relativistic Hydrodynamics Approach

TL;DR

This paper develops an analytical equation of state for gluon-dominated quark-gluon plasma using a hydrodynamic approach derived from a Lagrangian formulation, modeling the plasma as an ideal fluid.

Contribution

It introduces a novel Lagrangian-based method to derive the QGP equation of state within a hydrodynamic framework focusing on gluon dominance.

Findings

Derived the equation of state analytically for gluon-dominated QGP.

Formulated the equations of motion similar to Euler equations.

Explicitly represented the energy-momentum tensor as an ideal fluid.

Abstract

The dynamics of Quark-gluon plasma (QGP) as a lump of deconfined free quarks and gluons is elaborated. Based on the first principal we construct the Lagrangian that represents the dynamics of QGP. To induce a hydrodynamics approach, we substitute the gluon fields with flow fields. As a result, the derived equation of Motion (E.O.M) for gluon dominated QGP shows the form that similar to Euler equation, and the energy momentum tensor also represents explicitly the system of ideal fluid. Combining the E.O.M and energy momentum tensor, the pressure and energy density distribution as the equation of states are analytically derived.