The Yang-Mills magnetofluid unification is constructed using lagrangian approach by imposing certain gauge symmetry to the matter inside the fluid. The model provides a general description for relativistic fluid interacting with Abelian or non-Abelian gauge field. The differences with the hybrid magnetofluid model are discussed, and few physical consequences of this formalism are worked out.PACS : 12.38. Mh, 47.75.+f Some experimental discoveries and studies suggest that the deconfined quark gluon matter is behaving more like a quark gluon plasma (QGP) liquid [1,2,3]. This fact motivates tremendous works in constructing the non-Abelian fluid models like magnetohydrodynamics [4,5,6,7,8,9,10,11,12].In some recent models [9,10,11], the relativistic hot fluid was described in terms of hybrid magnetofluid field which unifies the electromagnetic and fluid fields. The unification is represented by the effective field strength tensor, M µν ≡ F µν + m/qS µν combining appropriately weighted electromagnetic and fluid fields. The model has *
The quark-gluon plasma in stellar structure is investigated using the fluid-like QCD approach. The classical energy momentum tensor relevant for high energy and hot plasma having the nature of fluid bulk of gluon sea is calculated within the model. The transition of gluon field from point particle field inside stable hadrons to relativistic fluid field in hot plasma and vice versa is briefly discussed. The results are applied to construct the equation of state using the Tolman-Oppenheimer-Volkoff equation to describe the hot plasma dominated stellar structure.
Based on the first principle calculation, a Lagrangian for the system describing quarks, gluons, and their interactions, is constructed. Ascribed to the existence of dissipative behavior as a consequence of strong interaction within quark-gluon plasma (QGP) matter, auxiliary terms describing viscosities are constituted into the Lagrangian. Through a "kind" of phase transition, gluon field is redefined as a scalar field with four-vector velocity inherently attached. Then, the Lagrangian is elaborated further to produce the energy-momentum tensor of dissipative fluid-like system and the equation of motion (EOM). By imposing the law of energy and momentum conservation, the values of shear and bulk viscosities are analytically calculated. Our result shows that, at the energy level close to hadronization, the bulk viscosity is bigger than shear viscosity. By making use of the conjectured values η/s ∼ 1/4π and ζ/s ∼ 1, the ratio of bulk to shear viscosity is found to be ζ/η > 4π.
The structure of a compact star core filled with gluon matter plasma is investigated within the fluid-like QCD framework. The energy-momentum tensor, density and pressure relevant to gluonic plasma having the nature of a fluid bulk of gluon sea are derived within the model. It is shown that the model provides a new equation of state for the perfect fluid with only a single parameter of fluid distribution ,φ(x). The results are applied to constructing the equation of state describing the gluonic plasma dominated compact star core. The equations of pressure and density distribution are solved analytically for a small compact star core radius. The phase transition of the plasma near the core surface is also discussed.
Abstract.A Lagrangian density for viscous quark-gluon plasma has been constructed within the fluid-like QCD framework. Gauge symmetry is preserved for all terms inside the Lagrangian, except for the viscous term. The transition mechanism from point particle field to fluid field, and vice versa, are discussed. The energy momentum tensor that is relevant to the gluonic plasma having the nature of fluid bulk of gluon sea is derived within the model. By imposing conservation law in the energy momentum tensor, shear viscosity appears as extractable from the equation.
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