Continuum extrapolation of quarkonium correlators at non-zero temperature

Abstract

In the investigation of in-medium modifications of quarkonia and for determining heavy quark diffusion coefficients, correlation functions play a crucial role. For the first time we perform a continuum extrapolation of charmonium and bottomonium correlators in the vector channel based on non-perturbatively clover-improved Wilson fermions in quenched lattice QCD. Calculations were done at 4 different lattice spacings, spatial extents between 96 and 192, aspect ratio from 1/6 to 1/2, for 5 temperatures between $T/T_c=0.75$ and $T/T_c=2.2$. We interpolate between different quark masses to match to the same vector meson mass over different lattice setups. Afterwards we extrapolate the renormalized correlators to the continuum. While we find a strong temperature dependence for charmonium, bottomonium states are only slightly affected at higher temperatures.

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Cited by in corpus (6)

• Quarkonium in-medium properties from realistic lattice NRQCD
• Stochastic reconstructions of spectral functions: Application to lattice QCD
• Charmonium and bottomonium spectral functions in the vector channel
• Charm and beauty in the deconfined plasma from quenched lattice QCD
• Insight into thermal modifications of quarkonia from a comparison of continuum-extrapolated lattice results to perturbative QCD${}^{†}$
• Thermal modifications of quarkonia and heavy quark diffusion from a comparison of continuum-extrapolated lattice results to perturbative QCD