Quark-Gluon Mixed Vacuum Condensates in Dyson-Schwinger Equations

  • Based on Dyson - Schwinger Equations of quark propagator, we calculate quark-gluon mixed vacuum condensates 〈0│:qgs σμνGμνq:│0〉and quark vacuum condensates 〈0│:qq:│0〉which are not only related to virtuality of quark in vacuum state but also characterizes the space width of quark distribution in the vacuum. The existence of these vacuum condensates reflects in a direct way the non-perturbative structure of QCD vacuum. Our calculated results on the mixed condensates lead to quark virtualities of λ2u,d=0.7GeV2 for u, d quarks, and 2s=1.6GeV2for s quark which are consistent with other's calculations used completely different methods.
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ZHOU Li-Juan and MA Wei-Xing. Quark-Gluon Mixed Vacuum Condensates in Dyson-Schwinger Equations[J]. Chinese Physics C, 2005, 29(8): 757-760.
ZHOU Li-Juan and MA Wei-Xing. Quark-Gluon Mixed Vacuum Condensates in Dyson-Schwinger Equations[J]. Chinese Physics C, 2005, 29(8): 757-760. shu
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Received: 2004-04-05
Revised: 1900-01-01
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Quark-Gluon Mixed Vacuum Condensates in Dyson-Schwinger Equations

    Corresponding author: MA Wei-Xing,
  • Department of Information and Computing Sciences,Guangxi University of Liu Zhou,545006,China2 Institute of High Energy Physics,CAS, Beijing 100049, China

Abstract: Based on Dyson - Schwinger Equations of quark propagator, we calculate quark-gluon mixed vacuum condensates 〈0│:qgs σμνGμνq:│0〉and quark vacuum condensates 〈0│:qq:│0〉which are not only related to virtuality of quark in vacuum state but also characterizes the space width of quark distribution in the vacuum. The existence of these vacuum condensates reflects in a direct way the non-perturbative structure of QCD vacuum. Our calculated results on the mixed condensates lead to quark virtualities of λ2u,d=0.7GeV2 for u, d quarks, and 2s=1.6GeV2for s quark which are consistent with other's calculations used completely different methods.

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