Spectral properties of quarks above Tc -- thermal mass, dispersion relation, and self-energy --

TL;DR

This study investigates the spectral properties of quarks above the critical temperature in quenched lattice QCD, revealing a minimum in the plasmino dispersion relation and analyzing the quark self-energy.

Contribution

It provides new insights into the dispersion relations and self-energy of quarks above Tc using lattice QCD with detailed spectral analysis.

Findings

Dispersion relation of plasmino mode has a minimum at nonzero momentum.

Quark self-energy analysis is consistent with the spectral function from a two-pole ansatz.

Spectral properties are studied in energy and momentum space above Tc.

Abstract

Spectral properties of quarks above the critical temperature for deconfinement are analyzed in quenched lattice QCD on lattices of size 128^3x16. We study quark spectral function in energy and momentum space, focusing on the values of the thermal mass and the dispersion relations of normal and plasmino modes at nonzero momentum, as well as their spatial volume dependence. Our numerical result suggests that the dispersion relation of the plasmino mode has a minimum at nonzero momentum even near the critical temperature. The quark self-energy is also analyzed by using the analyticy of the inverse propagator, which is found to be consistent with the spectral function estimated by the two-pole ansatz.