Heavy quarks in turbulent QCD plasmas

Mrówczyński, Stanisław

doi:10.1140/epja/i2018-12478-5

Cited by 48 publications

(49 citation statements)

References 28 publications

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“…It would also be interesting to study the viscous and anisotropic corrections to the Debye screening, the dissociation rate of quarkonium [53][54][55] and the recombination in a non-thermal QGP. The effect of a turbulent plasma on the heavy quark antiquark pair or quarkonium in the early stage of heavy ion collisions can also be explored [56]. A description of the quarkonium evolution through cold nuclear matter will be useful to studies of quarkonium production in both proton-ion and electron-ion collisions.…”

Section: Discussionmentioning

confidence: 99%

Quarkonium in-medium transport equation derived from first principles

2019

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We use the open quantum system formalism to study the dynamical in-medium evolution of quarkonium. The system of quarkonium is described by potential non-relativistic QCD while the environment is a weakly coupled quark-gluon plasma in local thermal equilibrium below the melting temperature of the quarkonium. Under the Markovian approximation, it is shown that the Lindblad equation leads to a Boltzmann transport equation if a Wigner transform is applied to the system density matrix. Our derivation illuminates how the microscopic time-reversibility of QCD is consistent with the time-irreversible in-medium evolution of quarkonium states. Static screening, dissociation and recombination of quarkonium are treated in the same theoretical framework. In addition, quarkonium annihilation is included in a similar way, although the effect is negligible for the phenomenology of the current heavy ion collision experiments. The methods used here can be extended to study quarkonium dynamical evolution inside a strongly coupled QGP, a hot medium out of equilibrium or cold nuclear matter, which is important to studying quarkonium production in heavy ion, proton-ion, and electron-ion collisions.

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Section: Discussionmentioning

confidence: 99%

Quarkonium in-medium transport equation derived from first principles

2019

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“…The calculations presented here can be generalized to study the effect of a turbulent plasma on quarkonium in the early stage of heavy ion collisions, as is done for heavy quarks [39]. For a complete description of quarkonium production in heavy ion collisions, the quarkonium transport equation needs to be coupled with transport equations of heavy quarks.…”

Section: Discussionmentioning

confidence: 99%

Quarkonium inside the quark-gluon plasma: Diffusion, dissociation, recombination, and energy loss

Yao

Müller

2019

Phys. Rev. D

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We consider the quarkonium diffusion, dissociation and recombination inside quark-gluon plasma.We compute scattering amplitudes in potential nonrelativistic QCD for relevant processes. These processes include the gluon absorption/emission at the order gr, inelastic scattering at the order g 2 r and elastic scattering with medium constituents at the order g 2 r 2 . We show these amplitudes satisfy the Ward identity. We also consider one-loop corrections. The dipole interaction between the color singlet and octet is not running at the one-loop level. Interference between the tree-level gluon absorption/emission and its thermal loop corrections cancels the collinear divergence in the t-channel inelastic scattering. The inelastic scattering has no soft divergence because of the finite binding energy of quarkonium. We write out the diffusion, dissociation and recombination terms explicitly for a Boltzmann transport equation and define the dissociation and recombination rates.Furthermore, we calculate the diffusion coefficient of quarkonium. We find our result of diffusion coefficient differs from a previous calculation by two to three orders of magnitude. We explain this and can reproduce the previous result in a certain limit. Finally we discuss two mechanisms of quarkonium energy loss inside quark-gluon plasma.

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“…Heavy quarks, namely charm and beauty, are excellent probes of the system created in high energy nuclear collisions, see [10][11][12][13][14][15][16][17][18][19][20][21][22][23] and references therein. As a matter of fact, their formation time can be roughly estimated as τ form ≈ 1/(2m) with m the quark mass which gives τ form ≤ 0.1 fm/c for charm and τ form ≤ 0.04 fm/c for beauty.…”

Section: Introductionmentioning

confidence: 99%

“…Because in our study we do not have a longitudinal expansion we do not attempt to a direct quantitative comparison with existing experimental data: while this will be the subject of forthcoming publications, we feel it is very important to understand the theoretical problem of the diffusion of heavy colored probes in the Glasma which has been overlooked by the community, and having this purpose in mind a first necessary step is to understand quantitatively the diffusion of these probes in a static gluon medium. It is worth mentioning that propagation of heavy quarks in the Glasma has been studied for the first time in [21] within a Fokker-Planck equation. The main differences with respect to [21] are that we do not rely on the small transferred momentum expansion, and we include the dynamical evolution of the gluon medium, eventually offering also a link to observables.…”

Section: Introductionmentioning

confidence: 99%

Diffusion of charm and beauty in the Glasma

Ruggieri

Das

2018

EPJ Web Conf.

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Relativistic nuclear collisions offer a unique way to study strong interactions at very high energy. The collision process can be described within the gluon saturation framework as the interaction of two colored glasses, and because of this interaction strong longitudinal gluon fields, namely the Glasma, are produced immediately after the collision. Besides, heavy quarks are also produced in the very early stage and because of their large mass and small concentration, their motion does not affect the evolution of the Glasma, thus behaving as ideal probes of the Glasma itself. We study the evolution of the heavy quarks in the Glasma allegedly produced in high energy p-Pb collisions by solving consistently the equations of motion of the quarks in the evolving Glasma fields. We find that this motion can be understood in terms of diffusion in momentum space, similarly to the random motion of a heavy probe in a hot thermalized medium. We show how the diffusion of heavy probes affects the nuclear modification factor of D and B mesons in p-Pb collisions. *

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Heavy quarks in turbulent QCD plasmas

Cited by 48 publications

References 28 publications

Quarkonium in-medium transport equation derived from first principles

Quarkonium in-medium transport equation derived from first principles

Quarkonium inside the quark-gluon plasma: Diffusion, dissociation, recombination, and energy loss

Diffusion of charm and beauty in the Glasma

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