Quark mass and the masses of Goldstone bosons |
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Authors: | Qing WU Li-juan ZHOU Wei-xing MA |
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Institution: | (1) Institute of Physics Science, Qingdao University, Qingdao, 266071, China;(2) Collaboration Group of Hadron Physics and Non-perturbative QCD Study, Guangxi University of Technology, Liuzhou, 545006, China;(3) Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, 100049, China |
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Abstract: | Based on the Dyson-Schwinger Equations (DSEs) of QCD in the “rainbow” approximation, the fully dressed quark propagator S
f
(p) is investigated, and then an algebraic parametrization form of the propagator is obtained as a solution of the equations.
The dressed quark amplitudes A
f
and B
f
which built up the fully dressed quark propagator, and the dynamical running masses M
f
, which is defined by A
f
and B
f
for light quarks u, d and s, are calculated, respectively. Using the predicted current masses m
f
, quark local vacuum condensates, and our predicted value of pion decay constant, the masses of Goldstone bosons K, π and η 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 p
2. The fully dressed quark amplitudes A
f
and B
f
have correct behaviors and can be used for many purposes in our future researches on non-perturbative QCD.
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Keywords: | DSEs quark propagator quark mass Goldstone boson mass |
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