Dependence of Quark Effective Mass on Gluon PropagatorsThe project supported in part by National Natural Science Foundation of China under Grant No. 10247004 and the Natural Science Foundation of Guangxi Province of China under Grant Nos. 0542042 and 0481030
He, Xiao-Rong; Zhou, Li-Juan; Ma, Wei-Xing; He, Xiao-Rong; Institute of Physical Science and Engineering Technology, Guangxi University, Nanning 530004, China; Zhou, Li-Juan; Institute of Physical Science and Engineering Technology, Guangxi University, Nanning 530004, China; Collaboration Group of Hadron Physics and Non-perturbative QCD Study, Guangxi University of Technology, Liuzhou 545006, China; Ma, Wei-Xing; Collaboration Group of Hadron Physics and Non-perturbative QCD Study, Guangxi University of Technology, Liuzhou 545006, China; Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000, China; Institute of High Energy Physics, the Chinese Academy of Sciences, P.O. Box 918, Beijing 100049, China
Журнал:
Communications in Theoretical Physics
Дата:
2005-10-01
Аннотация:
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 χ and range parameter Δ. Our theoretical calculations for the quark effective mass M<sub>f</sub>(p<sup>2</sup>), defined by the self-energy functions A<sub>f</sub>(p<sup>2</sup>) and B<sub>f</sub>(p<sup>2</sup>) 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.
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