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Quark mass and the masses of Goldstone bosons
- ZHOU Li-juan1, MA Wei-xing2, WU Qing3
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1.Collaboration Group of Hadron Physics and Non-perturbative QCD Study, Guangxi University of Technology; 2.Collaboration Group of Hadron Physics and Non-perturbative QCD Study, Guangxi University of Technology; Institute of High Energy Physics, Chinese Academy of Sciences; 3.Institute of Physics Science, Qingdao University
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| Published |
| 05 Mar 2008 |
| Issue Date |
| 05 Mar 2008 |
Based on the Dyson-Schwinger Equations (DSEs) of QCD in the “rainbow” approximation, the fully dressed quark propagator Sf(p) is investigated, and then an algebraic parametrization form of the propagator is obtained as a solution of the equations. The dressed quark amplitudes Af and Bf which built up the fully dressed quark propagator, and the dynamical running masses Mf, which is defined by Af and Bf for light quarks u, d and s, are calculated, respectively. Using the predicted current masses mf, quark local vacuum condensates, and our predicted value of pion decay constant, the masses of Goldstone bosons K, ? and ? and their in-medium values are also evaluated. Our predictions fit to data and to many other different calculations quite well. The numerical results show that the mass of quark is dependent of its momentum p2. The fully dressed quark amplitudes Af and Bf have correct behaviors and can be used for many purposes in our future researches on non-perturbative QCD.
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