Transport theory of relativistic heavy-ion collisions with chiral symmetry

Zhang, Wei Min; Wilets, L.

doi:10.1103/physrevc.45.1900

Cited by 55 publications

(73 citation statements)

References 54 publications

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“…Zhang and Wilets [6] have derived a transport theory based on the Nambu JonaLasinio model in order to estimate chiral symmetry effects in heavy-ion collisions; this is conceptually close to our work. However, besides the absence of confinement, these authors do not actually perform dynamical simulations.…”

supporting

confidence: 69%

A dynamical model of color confinement

et al. 1996

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A dynamical model of confinement based on a transport theoretical description of the Friedberg-Lee model is extended to explicit color degrees of freedom. The string tension is reproduced by an adiabatic string formation from the nucleon ground state. Color isovector oscillation modes of a qq-system are investigated for a wide range of relative qq-momenta and the dynamical impact of color confinement on the quark motion is shown. * Work supported by BMBF and GSI Darmstadt.

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supporting

confidence: 69%

A dynamical model of color confinement

et al. 1996

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“…Interesting extensions include studies of a classical version of QHD [Bu93,Bu93a,Bu95] and of a transport theory for quarks and mesons [Zh92a]. Experimental implications of a relativistic, mean-field, two-fluid model are explored in [Iv94,Ru94].…”

mentioning

confidence: 99%

Recent Progress in Quantum Hadrodynamics

Serot

Walecka

1997

Int. J. Mod. Phys. E

989

1,511

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Quantum hadrodynamics (QHD) is a framework for describing the nuclear many-body problem as a relativistic system of baryons and mesons. Motivation is given for the utility of such an approach and for the importance of basing it on a local, Lorentz-invariant lagrangian density. Calculations of nuclear matter and finite nuclei in both renormalizable and nonrenormalizable, effective QHD models are discussed. Connections are made between the effective and renormalizable models, as well as between relativistic mean-field theory and more sophisticated treatments. Recent work in QHD involving nuclear structure, electroweak interactions in nuclei, relativistic transport theory, nuclear matter under extreme conditions, and the evaluation of loop diagrams is reviewed.

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“…They have been employed extensively in relativistic nuclear physics, both in the intermediate energy region [292,299], where it may be appropriate to neglect quark and gluon degrees of freedom, and in the high energy domain directly relevant to a non-equilibrium QGP [262,300,301,302]. One approach [303] to the derivation of Vlasov-like transport equations can be described as a relativistic generalisation of the Zubarev method [304].…”

Section: Hadronisationmentioning

confidence: 99%

“…Again, in spite of the model's simplicity, the solution exhibits qualitative features that are characteristic of a realistic dressed-quark 2-point function; e.g., momentum-dependent scalar and vector self energies, and the persistence of this aspect of the solutions in the deconfined domain [237]. In this class of models, for a collisionless plasma, f * , satisfies [301] 0 = ∂ t f * ( p, x, t) (5.5.5) + 1 E( p, x, t) p + M( p, x, t) ∇ p M( p, x, t) · ∇ x f * ( p, x, t) − M( p, x, t) ∇ x M( p, x, t) · ∇ p f * ( p, x, t) .…”

Section: Hadronisationmentioning

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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Transport theory of relativistic heavy-ion collisions with chiral symmetry

Cited by 55 publications

References 54 publications

A dynamical model of color confinement

A dynamical model of color confinement

Recent Progress in Quantum Hadrodynamics

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

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