Heavy quark diffusion coefficient with gradient flow

Brambilla, Nora; Leino, Viljami; Mayer-Steudte, Julian; Petreczky, Péter

doi:10.1103/physrevd.107.054508

Cited by 17 publications

(7 citation statements)

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“…The quenched calculations of 𝜅 𝐸 include Refs. [66][67][68][69][70]. Results from some of them are shown as thin vertical lines in the left panel of Fig.…”

Section: Transport and Connection To Heavy-ion Collisions Via Heavy F...mentioning

confidence: 99%

Transport and Connection to Heavy-ion Collisions via Heavy Flavor Probes

Shu

2024

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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The heavy ion experiments in Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC) are going through upgrade in the next five years, shifting their focus more on the hard processes in the new runs. One of the main goals is to draw a finer image for the quark gluon plasma (QGP). The heavy flavor probes , which witness the whole history of heavy ion collision are particularly sensitive to test the properties of QGP formed in such collisions. The lattice results for heavy flavor probes provide transport and phenomenological models crucial inputs to describe the experimental observations like the strong suppression of the nuclear modification factor 𝑅 𝐴𝐴 and the non-zero azimuthal anisotropy at low 𝑝 𝑇 . In the last two years we have seen significant advances in the lattice QCD studies of heavy flavor probes, including the in-medium quarkonium properties, the complex static quark-antiquark potential and the heavy quark diffusion from lattice simulations at nonzero temperature. These achievements substantially deepen our understanding of the fate of quarkonium, the screening/unscreening of the complex potential and the temperature and quark mass dependence of the heavy quark diffusion in thermal medium. In these proceedings, we review recent results and briefly discuss possible directions in these studies.

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“…The quenched calculations of 𝜅 𝐸 include Refs. [66][67][68][69][70]. Results from some of them are shown as thin vertical lines in the left panel of Fig.…”

Section: Transport and Connection To Heavy-ion Collisions Via Heavy F...mentioning

confidence: 99%

Transport and Connection to Heavy-ion Collisions via Heavy Flavor Probes

Shu

2024

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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“…These corrections are given by a correlator of two chromomagnetic fields 𝐵. For some recent studies see for example [3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Adjoint chromoelectric and -magnetic correlators with gradient flow

Leino

2024

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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When QCD is described by a nonrelativistic effective field theory, operators consisting of gluonic correlators of two chromoelectric or -magnetic fields will often appear in descriptions of quarkonium physics. At zero T, these correlators give the masses of gluelumps and the moments of these correlators can be used to understand the inclusive P-wave decay of quarkonium. At finite T these correlators define the diffusion of the heavy quarkonium. However, these correlators come with a divergent term in lattice spacing which needs to be taken care of. We inspect these correlators in pure gauge theory with gradient flow smearing, which should allow us to reduce and remove the divergence more carefully. In these proceedings, we focus on the effect of gradient flow to these correlators and the reduction of this divergence.

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“…Thus, we plan to extend the present calculations to smaller temperatures with physical values of the light quark masses. The heavy quark mass suppressed effects to the heavy quark diffusion coefficients are expected to be relatively small based on the calculations performed in quenched QCD [17,54]. We plan to estimate these corrections also in 2 þ 1 flavor QCD.…”

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confidence: 98%

“…However, the flow radius should always be smaller than the relevant physical scales, implying the constraint ffiffiffiffiffiffiffi 8τ F p < τ < 1=ð2TÞ. For G E it was found that the more strict criterion ffiffiffiffiffiffiffi 8τ F p =τ < 1=3 should be respected [16,17,45]. Results.-Since ρ E ∝ ω 3 for large ω, G E is a steeply falling function of τ.…”

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confidence: 99%

“…To overcome the noise problem for our calculations with dynamical fermions we use the Symanzik-improved [15] gradient flow [44]. In quenched QCD it was demonstrated [16,17] that this approach is as effective as the multi-level algorithm for noise reduction, while also renormalizing G E nonperturbatively. By evolving the gauge fields in the fictitious flow time, τ F , as dictated by the force given by the gradient of the gauge action, the gradient flow smears the gauge fields over the radius ffiffiffiffiffiffiffi 8τ F p .…”

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confidence: 99%

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