Preequilibrium evolution of quark-gluon plasma

Nayak, Gouranga C.; Ravishankar, V.

doi:10.1103/physrevc.58.356

Cited by 34 publications

(34 citation statements)

References 33 publications

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“…where the parameters T , v and µ depend on position along the path x µ (τ ) from (8). The evolution of f e describes the flow of a dissipation-free fluid, as we now demonstrate.…”

Section: Linearized Boltzmann Equationsupporting

confidence: 52%

“…The time component of (8), dt/dτ = E/p · u, implies that τ is the time in the fluid rest frame. Moreover, (8) defines the path x µ (τ ) of the center of momentum of a phase space cell of mean p µ relative to this frame. We now write the Boltzmann equation as…”

Section: Linearized Boltzmann Equationmentioning

confidence: 99%

“…In this paper we combine the Boltzmann equation in the relaxation time approximation with dynamic Langevin fluctuations to study the effect of thermalization on two-particle correlations. The Boltzmann equation is one of the few tools available for studying nonequilibrium aspects of ion collisions [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Nevertheless, the standard form of this equation says nothing about correlations, because of the molecular chaos assumption employed in its description of scattering; see, e.g., [16].…”

Section: Introductionmentioning

confidence: 99%

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Boltzmann-Langevin approach to pre-equilibrium correlations in nuclear collisions

2017

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Correlations born before the onset of hydrodynamic flow can leave observable traces on the final state particles. Measurement of these correlations can yield important information on the isotropization and thermalization process. Starting from a Boltzmann-like kinetic theory in the presence of dynamic Langevin noise, we derive a new partial differential equation for the two-particle correlation function that respects the microscopic conservation laws. We illustrate how this equation can be used to study the effect of thermalization on long range correlations.

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“…where the parameters T , v and µ depend on position along the path x µ (τ ) from (8). The evolution of f e describes the flow of a dissipation-free fluid, as we now demonstrate.…”

Section: Linearized Boltzmann Equationsupporting

confidence: 52%

Section: Linearized Boltzmann Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Boltzmann-Langevin approach to pre-equilibrium correlations in nuclear collisions

2017

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“…Below we will describe a partial reconciliation of these approaches; and 4) Little attention has been paid to particular nonAbelian features in transport equations [273]. A study [274] of Wong's equation [275] is one step in the direction of explicitly including colour algebra effects.…”

Section: Preliminariesmentioning

confidence: 99%

Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD

Roberts

Schmidt

2000

Progress in Particle and Nuclear Physics

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Continuum strong QCD is the application of models and continuum quantum field theory to the study of phenomena in hadronic physics, which includes; e.g., the spectrum of QCD bound states and their interactions; and the transition to, and properties of, a quark gluon plasma. We provide a contemporary perspective, couched primarily in terms of the Dyson-Schwinger equations but also making comparisons with other approaches and models. Our discourse provides a practitioners' guide to features of the Dyson-Schwinger equations [such as confinement and dynamical chiral symmetry breaking] and canvasses phenomenological applications to light meson and baryon properties in cold, sparse QCD. These provide the foundation for an extension to hot, dense QCD, which is probed via the introduction of the intensive thermodynamic variables: chemical potential and temperature. We describe order parameters whose evolution signals deconfinement and chiral symmetry restoration, and chronicle their use in demarcating the quark gluon plasma phase boundary and characterising the plasma's properties. Hadron traits change in an equilibrated plasma. We exemplify this and discuss putative signals of the effects. Finally, since plasma formation is not an equilibrium process, we discuss recent developments in kinetic theory and its application to describing the evolution from a relativistic heavy ion collision to an equilibrated quark gluon plasma.

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“…This study also plays a crucial role in determining many of the potential signatures for quark-gluon plasma detection at RHIC. The space-time evolution of the parton gas for this non-equilibrium situation can be be modeled by solving semi classical relativistic transport equations [2,3,4,5,6,7,8,9,10]. Central to solving the transport equations is what goes into the scattering kernels.…”

mentioning

confidence: 99%

Infrared behavior of the gluon propagator in nonequilibrium situations

Cooper¹,

Kao²,

Nayak³

2002

Phys. Rev. D

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The infrared behaviour of the medium modified gluon propagator in non-equilibrium situations is studied in the covariant gauge using the Schwinger-Keldysh closed-time path formalism. It is shown that the magnetic screening mass is non-zero at the one loop level whenever the initial gluon distribution function is non isotropic with the assumption that the distribution function of the gluon is not divergent at zero transverse momentum. For isotropic gluon distribution functions, such as those describing local equilibrium, the magnetic mass at one loop level is zero which is consistent with finite temperature field theory results. Assuming that a reasonable initial gluon distribution function can be obtained from a perturbative QCD calculation of minijets, we determine these out of equilibrium values for the initial magnetic and Debye screening masses at energy densities appropriate to RHIC and LHC. We also compare the magnetic masses obtained here with those obtained using finite temperature lattice QCD methods at similar temperatures at RHIC and LHC.

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Preequilibrium evolution of quark-gluon plasma

Cited by 34 publications

References 33 publications

Boltzmann-Langevin approach to pre-equilibrium correlations in nuclear collisions

Boltzmann-Langevin approach to pre-equilibrium correlations in nuclear collisions

Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD

Infrared behavior of the gluon propagator in nonequilibrium situations

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