Dependence of Quark Effective Mass on Gluon Propagators

Based on Dyson Schwinger Equations （DSEs） in the “rainbow” approximation, the dependence of quark effective mass on gluon propagator is investigated by use of three different phenomenological gluon propagators with two parameters, the strength parameter x and range parameter △. Our theoretical calcu...

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Published inCommunications in theoretical physics Vol. 44; no. 4; pp. 670 - 674
Main Authors He, Xiao-Rong, Zhou, Li-Juan, Ma, Wei-Xing
Format Journal Article
LanguageEnglish
Published IOP Publishing 15.10.2005
Subjects
DSEs
Dyson
Schwinger方程
夸克集合
胶子传播
自能量函数
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Summary:Based on Dyson Schwinger Equations （DSEs） in the “rainbow” approximation, the dependence of quark effective mass on gluon propagator is investigated by use of three different phenomenological gluon propagators with two parameters, the strength parameter x and range parameter △. Our theoretical calculations for the quark effective mass Mf（p^2）, defined by the self-energy functions Af（p^2） and Bi（p%2） of the DSEs, show that the dynamically running quark effective mass is strongly dependent on gluon propagator. Therefore, because gluon propagator is completely unknown, the quark effective mass cannot be exactly determined theoretically.
Bibliography:11-2592/O3
quark mass, gluon propagator, DSEs, QCD
O572.33
ISSN:0253-6102
DOI:10.1088/6102/44/4/670