Heavy quark momentum diffusion from the lattice using gradient flow

Altenkort, Luis; Eller, Alexander M.; Kaczmarek, Olaf; Mazur, Lukas; Shu, Hai-Tao

doi:10.1103/physrevd.103.014511

Cited by 62 publications

(70 citation statements)

References 51 publications

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“…It is found that a relatively strong increase of 2π T D s (T ) from crossover temperature T c toward high temperature. Meanwhile, the v 2 data prefers a small value of 2π T D s near T c , 2π T D s (T c ) 3−6 4 , which is close to the lattice QCD calculations [64][65][66][67][68]. Charm Fig.…”

Section: Energy and Temperature Dependence Of The Transport Coefficientssupporting

confidence: 82%

“…LGR [40], LIDO [60], Catania [61] and CUJET3 5 [18,20,21], show a similar trend but with much weaker temperature dependence. LGR (dotted blue curve [40], LIDO (dashed black curve [60]), Catania (dot-dashed green curve [61]), CUJET3 (shadowed red band [18,20,21]) and lattice QCD calculations (black circle [64], blue triangle [65], pink square [66], red inverted triangle [67] and green plus [68]). The result for D-meson (long dashed pink curve [69]) in the hadronic phase is shown for comparison…”

Section: Energy and Temperature Dependence Of The Transport Coefficientsmentioning

confidence: 99%

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Langevin dynamics of heavy quarks in a soft-hard factorized approach

Sun

Xie

et al. 2021

Eur. Phys. J. C

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By utilizing a soft-hard factorized model, which combines a thermal perturbative description of soft scatterings and a perturbative QCD-based calculation for hard collisions, we study the energy and temperature dependence of the heavy quark diffusion coefficients in Langevin dynamics. The adjustable parameters are fixed from the comprehensive model-data comparison. We find that a small value of the spatial diffusion coefficient at transition temperature is preferred by data $$2\pi TD_{s}(T_{c}) \simeq 6$$ 2 π T D s ( T c ) ≃ 6 . With the parameter-optimized model, we are able to describe simultaneously the prompt $$D^{0}$$ D 0 $$R_{\mathrm{AA}}$$ R AA and $$v_{\mathrm{2}}$$ v 2 data at $$p_{\mathrm{T}}\le 8$$ p T ≤ 8 GeV in Pb–Pb collisions at $$\sqrt{s_{\mathrm{NN}}}=2.76$$ s NN = 2.76 and $$\sqrt{s_{\mathrm{NN}}}=5.02$$ s NN = 5.02 TeV. We also make predictions for non-prompt $$D^{0}$$ D 0 meson for future experimental tests down to the low momentum region.

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Section: Energy and Temperature Dependence Of The Transport Coefficientssupporting

confidence: 82%

Section: Energy and Temperature Dependence Of The Transport Coefficientsmentioning

confidence: 99%

Langevin dynamics of heavy quarks in a soft-hard factorized approach

Sun

Xie

et al. 2021

Eur. Phys. J. C

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“…Given that colour interactions are strong in QCD, their effects should be investigated up to the non-perturbative level. For colour-electric forces, large-scale lattice simulations have indeed been carried out in recent years [8][9][10][11][12][13], whereas for the colour-magnetic corrections, the challenge lies ahead of us. In preparation for this task, the goal of the current study is to clarify the renormalization of the colour-magnetic part of eq.…”

Section: Introductionmentioning

confidence: 99%

1-loop matching of a thermal Lorentz force

Laine

2021

J. High Energ. Phys.

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Studying the diffusion and kinetic equilibration of heavy quarks within a hot QCD medium profits from the knowledge of a coloured Lorentz force that acts on them. Starting from the spatial components of the vector current, and carrying out two matching computations, one for the heavy quark mass scale (M) and another for thermal scales $$ \left(\sqrt{MT},T\right) $$ MT T , we determine 1-loop matching coefficients for the electric and magnetic parts of a Lorentz force. The magnetic part has a non-zero anomalous dimension, which agrees with that extracted from two other considerations, one thermal and the other in vacuum. The matching coefficient could enable a lattice study of a colour-magnetic 2-point correlator.

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“…The chromoelectric correlator is very noisy and to reduce the noise the multi-level algorithm has been used in the above studies. Recently, it has been suggested to use the gradient flow as an alternative noise reduction method and this approach turned out to be successful in calculating the heavy quark diffusion coefficient at 1.5𝑇 𝑐 [12]. Furthermore, in Ref.…”

Section: Introductionmentioning

confidence: 99%

Chromoelectric and chromomagnetic correlators at high temperature from gradient flow

Mayer-Steudte¹,

Brambilla²,

Leino³

et al. 2021

Preprint

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The heavy quark diffusion coefficient is encoded in the spectral functions of the chromoelectric and the chromomagnetic correlators that are calculable on the lattice. We study the chromoelectric and the chromomagnetic correlator in the deconfined phase of SU(3) gauge theory using Symanzik flow at two temperatures 1.5𝑇 𝑐 and 10000𝑇 𝑐 , with 𝑇 𝑐 being the phase transition temperature. To control the lattice discretization errors and perform the continuum limit we use several temporal lattice extents 𝑁 𝑡 = 16, 20, 24 and 28. We observe that the flow time dependence of the chromomagnetic correlator is quite different from chromoelectric correlator most likely due to the anomalous dimension of the former as has been pointed out recently in the literature.

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Heavy quark momentum diffusion from the lattice using gradient flow

Cited by 62 publications

References 51 publications

Langevin dynamics of heavy quarks in a soft-hard factorized approach

Langevin dynamics of heavy quarks in a soft-hard factorized approach

1-loop matching of a thermal Lorentz force

Chromoelectric and chromomagnetic correlators at high temperature from gradient flow

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