Structure of the Quark Propagator at High Temperature

TL;DR

This paper investigates the quark propagator's structure at high temperature in QCD, revealing two sets of poles with distinct dispersion relations and a reflection property linking various derivatives and residues without relying on perturbation theory.

Contribution

It uncovers the detailed pole structure and reflection symmetry of the quark propagator at high temperature without using perturbative methods.

Findings

Identification of two sets of poles with different dispersion relations

Discovery of a reflection property relating derivatives and residues

Analysis conducted without perturbation theory

Abstract

In the high temperature, chirally invariant phase of QCD, the quark propagator is shown to have two sets of poles with different dispersion relations. A reflection property in momentum space relates all derivatives at zero-momentum of the particle and hole energies, the particle and hole damping rates, and the particle and hole residues. No use is made of perturbation theory.