Continuum extrapolation of quarkonium correlators at non-zero temperature

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.

temperature: high
heavy quark: diffusion
quantum chromodynamics: thermodynamics
vector meson: mass
quantum chromodynamics: quenching
numerical calculations
fermion: Wilson
fermion: clover
quark: mass dependence
correlation function

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