Continuum extrapolation of the gradient-flowed color-magnetic correlator at $1.5\,T_c$

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

doi:10.22323/1.396.0367

Cited by 6 publications

(4 citation statements)

References 15 publications

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“…The colour-magnetic contribution experiences non-trivial renormalization [14], but otherwise its lattice determination should not be harder than for the colour-electric case. Indeed attempts in this direction have been initiated by several groups recently [15,16].…”

Section: Jhep08(2022)128mentioning

confidence: 99%

Lattice study of a magnetic contribution to heavy quark momentum diffusion

Banerjee

Datta

Laine

2022

J. High Energ. Phys.

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Heavy quarks placed within a hot QCD medium undergo Brownian motion, characterized by specific transport coefficients. Their determination can be simplified by expanding them in T/M, where T is the temperature and M is a heavy quark mass. The leading term in the expansion originates from the colour-electric part of a Lorentz force, whereas the next-to-leading order involves the colour-magnetic part. We measure a colour-magnetic 2-point correlator in quenched QCD at T ∼ (1.2 − 2.0)Tc. Employing multilevel techniques and non-perturbative renormalization, a good signal is obtained, and its continuum extrapolation can be estimated. Modelling the shape of the corresponding spectral function, we subsequently extract the momentum diffusion coefficient, κ. For charm (bottom) quarks, the magnetic contribution adds ∼ 30% (10%) to the electric one. The same increases apply also to the drag coefficient, η. As an aside, the colour-magnetic spectral function is computed at NLO.

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Section: Jhep08(2022)128mentioning

confidence: 99%

Lattice study of a magnetic contribution to heavy quark momentum diffusion

Banerjee

Datta

Laine

2022

J. High Energ. Phys.

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“…Heavy quark diffusion coefficient with gradient flow Viljami Leino Banerjee 2012 [9] Francis 2015 [10] Altenkort 2021 [18] Brambilla 2020 [11] Banerjee 2022a [12] Banerjee 2022b [13] Brambilla 2022 [20] Figure 5: Our result of 𝜅 E (Grey diamond) compared to existing lattice results.…”

Section: Pos(lattice2022)183mentioning

confidence: 99%

“…The heavy quark diffusion coefficient 𝜅 E,B has been measured with gradient flow in Refs. [17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Heavy quark diffusion coefficient with gradient flow

Leino¹,

Brambilla²,

Mayer-Steudte³

et al. 2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

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The heavy quark diffusion coefficient is encoded in the spectral functions of the chromo-electric and the chromo-magnetic correlators, of which the latter describes the T/M contribution. We study these correlators at two different temperatures 𝑇 = 1.5𝑇 c and 𝑇 = 10 4 𝑇 c in the deconfined phase of SU(3) gauge theory. We use gradient flow for noise reduction. We perform both continuum and zero flow time limits to extract the heavy quark diffusion coefficient. Our results imply that the mass suppressed effects in the heavy quark diffusion coefficient are 20% for bottom quarks and 34% for charm quark at 𝑇 = 1.5𝑇 c .

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“…Studies carried out in the heavy quark mass limit can be found in [18][19][20][21][22][23] in both quenched approximation and (2+1)-flavor lattice QCD. Accessing the first mass suppressed correction to the diffusion coefficient are also attempted [22,[24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Study of quarkonium in QGP from unquenched lattice QCD

Ali

Bala

Kaczmarek

et al. 2023

Preprint

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This paper discusses the charmonium and bottomonium correlators in the pseudoscalar channel and the corresponding spectral reconstruction on the lattice. The absence of a transport peak in the pseudoscalar channel spectral function allows for an easier study of the in-medium modification of bound states. However, extracting spectral information from Euclidean correlators is still a numerically ill-posed problem. To constrain the spectral reconstruction, we use an ansatz motivated from perturbation theory. The perturbative model spectral function has two main contributions: a thermal part around the threshold obtained from pNRQCD and the vacuum part well above the threshold. These two regions are matched continuously, and the model spectral function is obtained by introducing parameters that control the overall thermal shift of the peak and the overall amplitude. The lattice correlator data is computed using clover-improved Wilson valence fermions on large and fine gauge field configurations generated using $N_f=2+1$ flavors Highly Improved Staggered Quark (HISQ) action with physical strange quark mass $m_s$, and slightly heavy degenerate up and down quark masses $m_l=m_s/5$ that correspond to $m_\pi\simeq 320$ MeV. Our results obtained at $T=220$ MeV and $T=251$ MeV suggest that no resonance peaks are needed to describe the charmonium lattice data at these temperatures, while for bottomonium thermally broadened resonance peaks persists.

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Continuum extrapolation of the gradient-flowed color-magnetic correlator at $1.5\,T_c$

Cited by 6 publications

References 15 publications

Lattice study of a magnetic contribution to heavy quark momentum diffusion

Lattice study of a magnetic contribution to heavy quark momentum diffusion

Heavy quark diffusion coefficient with gradient flow

Study of quarkonium in QGP from unquenched lattice QCD

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