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Light-cone representation of the quark Schwinger-Dyson equation

L. S. Kisslinger·O. Linsuain
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Abstract

We use a light-cone approach to solve the Schwinger-Dyson equation for the quark propagator. We show how this method can be used to solve the equation beyond the space-like region, to which one is usually restricted with the usual Euclidean-space approach. We work in the Landau gauge, and use an infrared-enhanced model for the gluon propagator and include instanton effects to get both confinement and vacuum condensates. With our models, reasonable fits to known quantities are obtained, resulting in a light-cone quark propagator that can be used for hadronic physics at all momentum transfers.

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L. S. Kisslinger, O. Linsuain. 2001-10-08. Light-cone representation of the quark Schwinger-Dyson equation. https://doi.org/10.1103/physrevc.66.045206

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