Temporal meson correlators at finite temperature on quenched anisotropic lattice

TL;DR

This study investigates charmonium correlators at finite temperature using quenched anisotropic lattice QCD, revealing that the ground state persists with minimal mass change and finite width slightly above the critical temperature.

Contribution

The paper applies smearing, maximum entropy, and $ ext{chi}^2$ fitting techniques to analyze charmonium spectral functions at finite temperature in quenched anisotropic lattice QCD.

Findings

Ground state peak remains nearly unchanged at 0.9T_c.

Peak persists with finite width at 1.1T_c.

Spectral functions indicate survival of charmonium states above T_c.

Abstract

We study charmonium correlators at finite temperature in quenched anisotropic lattice QCD. The smearing technique is applied to enhance the low energy part of the correlator. We use two analysis procedures: the maximum entropy method for extraction of the spectral function without assuming specific form, as an estimate of the shape of spectral function, and the $\chi^2$ fit assuming typical forms as quantitative evaluation of the parameters associated to the forms. We find that at $T\simeq 0.9T_c$ the ground state peak has almost the same mass as at T=0 and almost vanishing width. At $T\simeq 1.1T_c$, our result suggests that the correlator still has nontrivial peak structure at almost the same position as below $T_c$ with finite width.