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

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

2007-08-24

arxiv.org/abs/0708.3351v3

Prog.Theor.Phys. 119 (2008) 117-137

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1143/PTP.119.117

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.

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