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Insight into Thermal Modifications of Quarkonia From a Comparison of Continuum-Extrapolated Lattice Results to Perturbative QCD

1
Fakultät für Physik, Universität Bielefeld, 33615 Bielefeld, Germany
2
Key Laboratory of Quark and Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China
3
Center for Computational Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan
*
Author to whom correspondence should be addressed.
Presented at Hot Quarks 2018—Workshop for Young Scientists on the Physics of Ultrarelativistic Nucleus-Nucleus Collisions, Texel, The Netherlands, 7–14 September 2018.
Proceedings 2019, 10(1), 45; https://doi.org/10.3390/proceedings2019010045
Published: 5 May 2019
PDF [2023 KB, uploaded 5 May 2019]

Abstract

In this work, we strive to gain insight into thermal modifications of charmonium and bottomonium bound states as well as the heavy quark diffusion coefficient. The desired information is contained in the spectral function which can not be calculated on the lattice directly. Instead, the correlator given by an integration over the spectral function times an integration kernel is obtained. Extracting the spectral function is an ill-posed inversion problem and various different solutions have been proposed. We focus on a comparison to a spectral function obtained from combining perturbative and pNRQCD calculations. In order to get precise results, continuum extrapolated correlators originating from large and fine lattices are used. We first analyze the pseudoscalar channel since the absence of a transport peak simplifies the analysis. The knowledge gained from this is then used to extend the analysis to the vector channel, where information on heavy quark transport is encoded in the low frequency regime of the spectral function. The comparison shows a qualitatively good agreement between perturbative and lattice correlators. Quantitative differences can be explained by systematic uncertainties.
Keywords: Heavy Quarkonia; QGP; Spectral Function Heavy Quarkonia; QGP; Spectral Function
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Kruse, A.-L.; Ding, H.-T.; Kaczmarek, O.; Ohno, H.; Sandmeyer, H. Insight into Thermal Modifications of Quarkonia From a Comparison of Continuum-Extrapolated Lattice Results to Perturbative QCD. Proceedings 2019, 10, 45.

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