Equation of state within gluon dominated QGP model in relativistic hydrodynamics approach

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 a form 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 are analytically derived.