Validity of Parametrized Quark Propagator

Based on an extensively study of the Dyson-Schwinger equations for a fully dressed quark propagator in the “rainbow”approximation, a parametrized fully dressed quark propagator is proposed in this paper. The parametrized propagator describes a confining quark propagator in hadron since it is analyti...

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Bibliographic Details
Published in:Communications in theoretical physics 2005-07, Vol.44 (1), p.117-122
Main Authors: Zhu, Ji-Zhen, Zhou, Li-Juan, Ma, Wei-Xing
Format: Article
Language:English
Subjects:
Dyson-Schwinger方程
参数表示
夸克传播
非干涉QCD
高能物理
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Summary:Based on an extensively study of the Dyson-Schwinger equations for a fully dressed quark propagator in the “rainbow”approximation, a parametrized fully dressed quark propagator is proposed in this paper. The parametrized propagator describes a confining quark propagator in hadron since it is analytic everywhere in complex p2-plane and has no Lemmann representation. The validity of the new propagator is discussed by comparing its predictions on selfenergy functions A/(p2), Bl(p2) and effective mass M$(p2) of quark with flavor f to their corresponding theoretical results produced by Dyson-Schwinger equations. Our comparison shows that the parametrized quark propagator is a good approximation to the fully dressed quark propagator given by the solutions of Dyson-Schwinger equations in the rainbow approximation and is convenient to use in any theoretical calculations.
ISSN:0253-6102
DOI:10.1088/6102/44/1/117