Is There Only One Solution of the Dyson-Schwinger Equation for Quark Propagator in the Case of Non-zero Current Quark Mass

Abstract

In this letter it is shown on general ground that there exist two qualitatively distinct solutions of the Dyson-Schwinger equation for the quark propagator in the case of non-zero current quark mass. One solution corresponds to the ``Nambu-Goldstone'' phase and the other one corresponds to the ``Wigner'' phase in the chiral limit.

arXiv comment7 pages

References in corpus (6)

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• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• Hadron Physics from the Global Color Model of QCD
• The Calculation of Vacuum Properties from the Global Color Symmetry Model
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• Critical behaviors near the (tri-)critical end point of QCD within the NJL model
• The Wigner solution of quark gap equation at nonzero current quark mass and partial restoration of chiral symmetry at finite chemical potential
• Zero mode in a strongly coupled quark gluon plasma
• Wigner solution of the quark gap equation
• A new algorithm towards quasi-Wigner solution of the gap equation beyond the chiral limit
• New algorithm to study the pseudo-Wigner solution of the quark gap equation in the framework of the (2+1)-flavor NJL model
• Discussion for the Solutions of Dyson-Schwinger Equations at m>0 in QED3
• Nonperturbative solutions of Dyson-Schwinger equations in QED${}_3$