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Propagators and Masses of Light Quarks
Authors:ZHOU Li-Juan  ZHU Ji-Zhen  MA Wei-Xing
Institution:Department of Information and Computing Science, Guangxi University of Technology, Liuzhou 545006, China Department of Information and Computing Science, Guangxi University of Technology, Liuzhou 545006, China Department of Information and Computing Science, Guangxi University of Technology, Liuzhou 545006, China;Institute of High Energy Physics, the Chinese Academy of Sciences, Beijing 100039, China;Institute of Theoretical Physics, the Chinese Academy of Scie,Beijing 10080,China
Abstract:Based on Dyson-Schwinger equations in "rainbow" approximation, fully dressed confining quark propagator is obtained, and then the masses of light quarks (mu, md, and ms) are derived from the fully dressed confining quark propagator. At the same time, the local and non-local quark vacuum condensates as well as the quark-gluon mixed condensate are also predicted. Furthermore, the quark masses are also deduced from the Gell-Mann-Oakes-Renner relation and chiral perturbative theory. The results from different methods are consistent with each other.
Keywords:quark propagator  quark condensate  quark mass  Dyson-Schwinger equations
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