Magnetofluid Unification in Yang–mills Lagrangian

Abstract

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 *

Viscous quark-gluon plasma model through fluid QCD approach

“…Several works on utilizing the non-viscous energy momentum tensor have been done elsewhere [19,20]. The observables are derived and calculated following the logic of physics theories and procedures, and the preciseness of the results is waiting for comparison with other's works in the same field.…”

“…For the viscous part we adopt the model proposed by Sulaiman et.al. [14], in which the QGP is described as a strongly interacting gluon sea with quarks and anti-quarks inside, and deploys the conventional QCD Lagrangian with SU(3) color gauge symmetry, …”

“…As to be mentioned that quarks and anti-quarks actually get influenced by the electromagnetic force due to the U(1) field A  , but since the corresponding magnitude is very small compared to the case of strong interaction, i.e., e / g s   /  s~O (10 1 ) , it may practically be neglected. Following the original model [14,15], the gluon fluid is constructed to have a particular form in term of the relativistic velocity as,…”

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

“…The Lagrangian of QGP that describes the unification of fermions and bosons from different gauge groups with preserving SU(3) F ⊗ U(1) G gauge symmetry can be written as [13,14] …”

“…On the other hand, the gluon-dominated plasma motivated by the discoveries of jet quenching in the heavy-ion collision at Brookhaven's Relativistic Heavy Ion Collider (RHIC) indicates the shock waves in the form of Mach cone [11,12]. The present paper adopts the so-called fluid QCD model [13][14][15] to produce the equation of motion and energymomentum tensor for quark and gluon in a lump of QGP, and subsequently to investigate the distributions of the pressure and energy density. This paper is organized as follows.…”