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

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 Tc, 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.

Applications of dimensional reduction to electroweak and QCD matter

“…The static mesonic correlators considered here have also been measured in the lattice simulations. In zero density there is a long tradition of measuring the screening masses, for recent results see [74][75][76][77]. Early measurements gave large differences between the masses of different spin structure operators, but in recent works the general picture is that already at ∼ 2T c the masses come close to the ideal gas result, with ρ (vector) meson slightly larger than π (pseudoscalar) and both lying 5-10% below the ideal gas result.…”