Structure of Nonlocal Quark Vacuum Condensate in Non-perturbative QCD Vacuum

XIANG Qianfei; ZHOU Lijuan; JIANG Weizhou; MA Weixing

doi:10.11804/NuclPhysRev.31.02.147

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XIANG Qianfei, ZHOU Lijuan, JIANG Weizhou, MA Weixing. Structure of Nonlocal Quark Vacuum Condensate in Non-perturbative QCD Vacuum[J]. Nuclear Physics Review, 2014, 31(2): 147-151. doi: 10.11804/NuclPhysRev.31.02.147

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XIANG Qianfei, ZHOU Lijuan, JIANG Weizhou, MA Weixing. Structure of Nonlocal Quark Vacuum Condensate in Non-perturbative QCD Vacuum[J]. Nuclear Physics Review, 2014, 31(2): 147-151. doi: 10.11804/NuclPhysRev.31.02.147

Structure of Nonlocal Quark Vacuum Condensate in Non-perturbative QCD Vacuum

doi: 10.11804/NuclPhysRev.31.02.147

Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China;
School of Science, Guangxi University of Science and Technology, Liuzhou 545006, Guangxi, China;

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2014-06-20

Abstract

Based on the Dyson-Schwinger Equations (DSEs) with the rainbow truncation, and Operator Product Expansion, the structure of nonlocal quark vacuum condensate in QCD, described by quark self-energy functions Af and Bf given usually by the solutions of the DSEs of quark propagator,is predicted numerically. We also calculate the local quark vacuum condensate, quark-gluon mixed local vacuum condensate, and quark virtuality. The self-energy functions Af and Bf are given by the parameterized quark propagator functions fv(p2) and fs (p2) of Roberts and Williams, instead of the numerical solutions of the DSEs. Our calculated results are in reasonable agreement with those of QCD sum rules, Lattice QCD calculations, and instanton model predictions, although the resulting local quark vacuum condensate for light quarks, u, d, s, are a little bit larger than those of the above theoretical predictions. We think the differences are caused by model dependence. The larger of strange quark vacuum condensate than u, d quark is due to the s quark mass which is more larger than u, d quark masses. Of course, the Roberts-Williams parameterized quark propagator is an empirical formulism, which approximately describes quark propagation.
- quark vacuum condensate,
- Non-perturbative QCD,
- Dyson-Schwinger Equations
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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Structure of Nonlocal Quark Vacuum Condensate in Non-perturbative QCD Vacuum

doi: 10.11804/NuclPhysRev.31.02.147

Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China;

School of Science, Guangxi University of Science and Technology, Liuzhou 545006, Guangxi, China;

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2014-06-20

Key words:

Abstract: Based on the Dyson-Schwinger Equations (DSEs) with the rainbow truncation, and Operator Product Expansion, the structure of nonlocal quark vacuum condensate in QCD, described by quark self-energy functions Af and Bf given usually by the solutions of the DSEs of quark propagator,is predicted numerically. We also calculate the local quark vacuum condensate, quark-gluon mixed local vacuum condensate, and quark virtuality. The self-energy functions Af and Bf are given by the parameterized quark propagator functions fv(p2) and fs (p2) of Roberts and Williams, instead of the numerical solutions of the DSEs. Our calculated results are in reasonable agreement with those of QCD sum rules, Lattice QCD calculations, and instanton model predictions, although the resulting local quark vacuum condensate for light quarks, u, d, s, are a little bit larger than those of the above theoretical predictions. We think the differences are caused by model dependence. The larger of strange quark vacuum condensate than u, d quark is due to the s quark mass which is more larger than u, d quark masses. Of course, the Roberts-Williams parameterized quark propagator is an empirical formulism, which approximately describes quark propagation.

Citation: