Stochastic reconstructions of spectral functions: Application to lattice QCD

Ding, Heng-Tong; Kaczmarek, Olaf; Mukherjee, Swagato; Ohno, Hiroshi; Shu, Hai-Tao

doi:10.1103/physrevd.97.094503

Cited by 33 publications

(30 citation statements)

References 32 publications

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“…The study of quarkonium in-medium spectral properties has a long history using both relativistic and non-relativistic heavy quark formulations. The former has been deployed mostly in the study of charmonium [94][95][96][97][98][99][100][101][102][103][104][105][106][107], where also full QCD simulations can be realized. Bottomonium on the other hand requires so small lattice spacings that currently only quenched QCD results exist [97,103,108].…”

Section: Considerations In Thermal Equilibriummentioning

confidence: 99%

Quarkonium in-medium properties from realistic lattice NRQCD

Kim

Petreczky

Rothkopf

2018

J. High Energ. Phys.

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We present the final results of our high statistics study on the properties of bottomonium and charmonium at finite temperature. We focus on the temperature range around the crossover transition 150 ≤ T ≤ 410MeV, relevant for current heavy ion collision experiments. The QCD medium degrees of freedom which consist of dynamical u,d, and s quarks and gluons are captured by realistic state-of-the art (m π ≈ 161MeV) lattice QCD simulations of the HotQCD collaboration. For the heavy quarks we deploy the nonrelativistic effective field theory of QCD, NRQCD. The in-medium properties of quarkonium are deduced from their spectral functions, which are reconstructed using improved and novel Bayesian approaches. Through a systematic analysis we shed light on the origin of the discrepancies in melting temperatures previously reported in the literature, showing that they are owed to underestimated methods uncertainties of the deployed spectral reconstructions. Our simulations corroborate a picture of sequential in-medium modification, ordered according to the vacuum binding energy of the states. As a central quantitative result, our study reveals how the mass of the heavy quarkonium ground state reduces as temperature increases. The observed spectral modifications are interpreted in the light of, and compared to previous studies based on the complex lattice potential for heavy quarkonium. Thus for the first time we provide a robust picture of in-medium heavy quarkonium modification in the quark-gluon plasma consistent among different non-relativistic methods. We also critically discuss the perspectives for improving on these results.

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Section: Considerations In Thermal Equilibriummentioning

confidence: 99%

Quarkonium in-medium properties from realistic lattice NRQCD

Kim

Petreczky

Rothkopf

2018

J. High Energ. Phys.

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“…There have been many attempts to study in-medium properties of charmonium [28][29][30][31][32][33][34][35][36] and bottomonium [4-8, 33, 37, 38] in lattice QCD, almost entirely focused on in-medium modifications of ground states of S-and P-wave quarkonium. Previous lattice QCD studies of in-medium quarkonium used point meson operators, i.e., operators with quark and anti-quark fields located in the same spatial point, which are known to have non-optimal overlap with the quarkonium wave-functions, especially, with the excited states.…”

Section: Introductionmentioning

confidence: 99%

Excited bottomonia in quark-gluon plasma from lattice QCD

et al. 2020

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We present the first lattice QCD study of up to 3S and 2P bottomonia at non-zero temperatures. Correlation functions of bottomonia were computed using novel bottomonium operators and a variational technique, within the lattice non-relativistic QCD framework. We analyzed the bottomonium correlation functions based on simple physicallymotivated spectral functions. We found evidence of sequential in-medium modifications, in accordance with the sizes of the bottomonium states.

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“…The lattice QCD is a first-principle nonperturbative approach to solve QCD. Combining with the maximum entropy method (MEM) of the spectral analysis, it has obtained numerous interesting results, such as the evolution of bound state peaks with temperatures, heavy quark diffusion coefficients in the QGP, electrical conductivities of the QGP, and so on [33][34][35][36][37][38][39]. Besides, many other approaches have also been applied in the studies (see, e.g., Refs.…”

Section: Introductionmentioning

confidence: 99%

Flavor dependence of the thermal dissociations of vector and axial-vector mesons

2020

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The in-medium behavior of ground-state qq mesons, where q ∈ fu; d; s; cg, in vector and axial-vector channels is studied based on the spectral analysis for mesonic correlators at finite temperature and zero chemical potential. We first compute the correlators by solving the quark gap equations and the inhomogeneous Bethe-Salpeter equations in the rainbow-ladder approximation. Using a phenomenological ansatz, the spectral functions are extracted by fitting the correlators. By analyzing the evolution of the spectral functions with the temperature, we obtain the dissociation temperatures of mesons and discuss their relations to the critical temperature of the chiral symmetry restoration. The results show a pattern of flavor dependence of the thermal dissociation of the mesons.

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Stochastic reconstructions of spectral functions: Application to lattice QCD

Cited by 33 publications

References 32 publications

Quarkonium in-medium properties from realistic lattice NRQCD

Quarkonium in-medium properties from realistic lattice NRQCD

Excited bottomonia in quark-gluon plasma from lattice QCD

Flavor dependence of the thermal dissociations of vector and axial-vector mesons

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