Quasi-quark spectrum in the chiral symmetric phase from the Schwinger-Dyson equation

Abstract

We non-perturbatively study the fermion spectrum in the chiral symmetric phase from the Schwinger-Dyson equation with the Feynman gauge, in which we perform an analytic continuation of the solution on the imaginary time axis to the real time axis with a method employing an integral equation. It is shown that the fermion spectrum has two peaks, which correspond to the normal quasi-fermion and the plasmino, although these peaks in the strong coupling region are very broad, owing to multiple scatterings with gauge bosons. We find that the thermal mass of the quasi-fermion saturates at some value of the gauge coupling, beyond which the thermal (pole) mass satisfies $M\sim T$, independently of the value of the gauge coupling. We also comment on the appearance of a three-peak structure in the fermion spectrum as a non-perturbative effect.

21 pages, 11 figures; This is the version published in Prog.Theor.Phys

Cited by in corpus (5)

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• Quasifermion spectrum at finite temperature from coupled Schwinger-Dyson equations for a fermion-boson system
• Structure of a thermal quasifermion in the QCD/QED Medium
• Emergence of soft quark excitations by the coupling with a soft mode of the QCD critical point