Spectral reconstruction details of a gradient-flowed color-electric correlator

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

doi:10.1051/epjconf/202225910004

Cited by 4 publications

(6 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Let us denote this term by κ E . Many lattice studies of κ E have been reported in quenched QCD [6][7][8][9][10][11][12], and even though further improvements are desirable, related for instance to non-perturbative renormalization, unquenching, and analytic continuation, the patterns that have emerged so far point towards a consistent picture.…”

Section: Introductionmentioning

confidence: 99%

Lattice study of a magnetic contribution to heavy quark momentum diffusion

Banerjee,

Datta,

Laine

2022

Preprint

View full text Add to dashboard Cite

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 nextto-leading order involves the colour-magnetic part. We measure a colour-magnetic 2-point correlator in quenched QCD at T ∼ 1.2...2.0T c . Employing multilevel techniques and nonperturbative 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.

show abstract

Section: Introductionmentioning

confidence: 99%

Lattice study of a magnetic contribution to heavy quark momentum diffusion

Banerjee,

Datta,

Laine

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Beside this phenomenological estimate, in this work we also employ lattice-QCD (lQCD) results for D s taken from Ref. [16].…”

Section: The Fokker-planck Equation and Heavy-quark Transport Coeffic...mentioning

confidence: 99%

“…Here and in the next plots the range spanned by τ n is highlighted by the colored bands. Different colored bands correspond to different D s estimates coming from lattice-QCD simulations [16] and from fits to ALICE experimental data [15]. The heavy-quark relaxation time increases linearly with the M/T ratio when the latter is large enough.…”

Section: B Heavy-quark Relaxation Timementioning

confidence: 99%

“…This observation, although referring to a limiting case outside the domain of validity of our approximations, is in agreement with the second-order hydrodynamic description and guarantees causal propagation. [16]. The blue band is computed using estimates for Ds coming from fits to ALICE experimental data [15].…”

Section: B Heavy-quark Relaxation Timementioning

confidence: 99%

“…Heavy-quark relaxation time τn multiplied by temperature T as a function of M/T . The red band is computed using Ds estimates coming from Lattice-QCD simulations[16]. The blue band is computed using estimates for Ds coming from fits to ALICE experimental data[15].…”

mentioning

confidence: 99%

See 2 more Smart Citations

A fluid-dynamic approach to heavy-quark diffusion in the quark-gluon plasma

Capellino,

Beraudo,

Dubla

et al. 2022

Preprint

View full text Add to dashboard Cite

A fluid-dynamic approach to the diffusion of heavy quarks in the quark-gluon plasma (QGP) is presented. Specifically, we analyze the Fokker-Planck equation for the momentum transport of heavy quarks from a fluid perspective and use a mapping to second-order fluid-dynamics to determine conductivities and relaxation times governing their spatial diffusion. By investigating the relation between the two approaches, we provide new insights concerning the level of local thermalization of charm and bottom quarks inside the expanding QGP. Our results indicate that a fluid-dynamic description of diffusion is feasible for charm quarks at least for the latest stages of the fireball evolution.

show abstract

Lattice study of a magnetic contribution to heavy quark momentum diffusion

Banerjee

Datta

Laine

2022

J. High Energ. Phys.

View full text Add to dashboard Cite

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.

show abstract

Spectral reconstruction details of a gradient-flowed color-electric correlator

Cited by 4 publications

References 13 publications

Lattice study of a magnetic contribution to heavy quark momentum diffusion

Lattice study of a magnetic contribution to heavy quark momentum diffusion

A fluid-dynamic approach to heavy-quark diffusion in the quark-gluon plasma

Lattice study of a magnetic contribution to heavy quark momentum diffusion

Contact Info

Product

Resources

About