A non-abelian quasi-particle model for gluon plasma

Abstract

We propose a quasi-particle model for the thermodynamic description of the gluon plasma which takes into account non-abelian characteristics of the gluonic field. This is accomplished utilizing massive non-linear plane wave solutions of the classical equations of motion with a variable mass parameter, reflecting the scale invariance of the Yang-Mills Lagrangian. For the statistical description of the gluon plasma we interpret these non-linear waves as quasi-particles with a temperature dependent mass distribution. Quasi-Gaussian distributions with a common variance but different temperature dependent mean masses for the longitudinal and transverse modes are employed. We use recent Lattice results to fix the mean transverse and longitudinal masses while the variance is fitted to the equation of state of pure $SU(3)$ on the Lattice. Thus, our model succeeds to obtain both a consistent description of the gluon plasma energy density as well as a correct behaviour of the mass parameters near the critical point.Comment: 7 pages, 2 figure

Electrical conductivity and Hall conductivity of a hot and dense quark gluon plasma in a magnetic field: A quasiparticle approach

“…medium dependent mass, of the quasi particles. In literature various types of quasi particle models are discussed [70][71][72][73][74][75][76][77][78][79][80][81][82][83][84][85]. In this investigation we have considered two quasi particle models, quasi particle model I (QPM I) and quasi particle model II (QPM II).…”

“…In the present investigation, we estimate the electrical and Hall conductivity for the hot and dense QGP in a magnetic field using quasi particle picture of quark gluon plasma. It may be mentioned here that quasiparticle models have been quite successful in describing Lattice QCD simulation results regarding thermodynamics [70][71][72][73][74][75][76][77][78][79][80][81][82][83][84][85]. Generically in quasi particle picture non perturbative dynamics is encoded in the masses of quasiparticles.…”

Particle states of lattice QCD

“…6 The value of χ 2 which results from the fit to determine the parameters g t and m through method 1 with ΔT = 5 MeV in linear and logarithmic vertical axis (embedded graph). Curve (1), χ 2 1 , corresponds to system 1, curve (2), χ 2 2 , to system 2 and curve (3) (2) 2 2 of the corresponding maximum between them. For system 1 two maximum values are found at T 11 and T 13 and one minimum at T 12 .…”

“…Upper, thick curves (i) represent calculations through method 1 with ∆T = 5 MeV, while low, thin curves (ii) represent calculations through method 1 with ∆T = 0.5 MeV. Curves (1), χ 2 1 , correspond to system 1, curves (2), χ 2 2 , to system 2 and curves (3), χ 2 3 , to system 3. The shown characteristic temperatures are the same as in Figure 6 and are all stable under change of ∆T , except for T 32 and T 34 .…”

“…In this picture the interaction is hidden in "particle" states [1]. Recently, a quasiparticle using massive gluon states for the thermodynamic description of non-abelian interacting gluon plasma has been developed [2].…”