Light meson correlation functions near the deconfining transition on anisotropic lattices

TL;DR

This study investigates light meson correlators near the deconfining transition using anisotropic lattice QCD, employing spectral function extraction methods to understand hadronic behavior in the quark-gluon plasma.

Contribution

It applies a spectral function extraction technique, combining maximum entropy and $ ext{chi}^2$ fitting, to light mesons near the deconfining transition on anisotropic lattices, extending methods used for charmonium.

Findings

Spectral functions are successfully extracted near the transition temperature.

The method's reliability is tested by varying input parameters.

Results provide insights into meson behavior in the quark-gluon plasma.

Abstract

We study the light hadron correlators near the deconfining transition by extracting the spectral function on quenched anisotropic lattices. We adopt the method successfully applied to the charmonium systems: the use of the smeared operators and the analysis method which is composed of the maximum entropy method and the $\chi^2$ fitting assuming several forms. The numerical simulations are performed on lattices of $a_s^{-1} \simeq 2$ GeV and $a_s/a_t=4$, with the clover quark around the strange quark mass. Towards applications to the plasma phase, we check the reliability of our procedure by examining how the results for the correlators below $T_c$ ($N_t=32$) changes under variation of input parameters such as the smearing function.