Study of spatial meson correlators at finite temperature in quenched anisotropic lattice QCD

TL;DR

This study investigates spatial meson correlators at finite temperature using anisotropic lattice QCD, employing spectral function analysis and maximum entropy methods to understand meson properties across the critical temperature.

Contribution

It introduces a detailed analysis of spatial meson correlators at finite temperature using anisotropic lattices and advanced spectral reconstruction techniques.

Findings

Correlators exhibit distinct behaviors below and above T_c.

Spectral functions reveal modifications in meson properties at finite temperature.

Maximum entropy method effectively reconstructs spectral functions from lattice data.

Abstract

We analyze the meson correlator in the spatial direction at finite temperature. To achieve fine resolution in the spatial direction, we use an anisotropic lattice with the standard Wilson plaquette gauge action and the $O(a)$ improved Wilson quark action. Below and above $T_c$, properties of correlators are investigated by two methods: fits with ansatz for the spectral function, and direct reconstruction of the spectral function using the maximum entropy method.