Quarkonium correlators and spectral functions at zero and finite temperature

Abstract

We study quarkonium correlators and spectral functions at zero and finite temperature using the anisotropic Fermilab lattice formulation with anisotropy ξ = 2 and 4. To control cutoff effects we use several different lattice spacings. The spectral functions were extracted from lattice correlators with Maximum Entropy Method based on a new algorithm. We find evidence for the survival of 1S quarkonium states in the deconfined medium till relatively high temperatures as well as for dissolution of 1P quarkonium states right above the deconfinement temperature.

Quarkonia correlators and spectral functions from lattice QCD

“…Also shown in Fig.1 is the spectral function in the scalar channel from Ref. [13]. The 1st peak corresponds to χ c0 (1P ) state.…”

“…Lattice calculation of charmonium spectral functions appeared recently and suggested, contrary to potential models, that J/ψ and η c survive at temperatures as high as 1.6T c [9,10,11,12]. It has been also found that χ c melts at temperature of about 1.1T c [11,12,13]. There are also preliminary calculations of the bottomonium spectral functions [14,15].…”

“…The spectral function for pseudo-scalar charmonium spectral functions calculated on anisotropic lattice [13] is shown in Fig. 1.…”

“…Charmonium spectral function in the pseudo-scalar channel (left) and the scalar channel (right) at different lattice spacings and zero temperature from Ref. [13]. m(ω) = 1 was used as the default model.…”

“…The real function m(ω) is called the default model and parametrizes all additional prior knowledge about the spectral functions, such as the asymptotic behavior at high energy [17]. In order to have sufficient number of data points either very fine isotropic lattices [11,12,15] or anisotropic lattices [9,10,13,14] have been used.…”