Quark-Gluon Mixed Vacuum Condensates in Dyson-Schwinger Equations

ZHOU Li-Juan; MA Wei-Xing

Chinese Physics C> 2005, Vol. 29> Issue(8) : 757-760

Quark-Gluon Mixed Vacuum Condensates in Dyson-Schwinger Equations

ZHOU Li-Juan ,
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

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Abstract：
Based on Dyson - Schwinger Equations of quark propagator, we calculate quark-gluon mixed vacuum condensates 〈0│:qg_s σ_μνG_μνq:│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 λ²_u,d=0.7GeV² for u, d quarks, and ²_s=1.6GeV²for s quark which are consistent with other's calculations used completely different methods.

References

[1]

. Ioffe B L. Nucl. Phys. , 1981 , B188 :317 ; Erratum-ibid. 1981 , B191 :5912. Dosch H G. Jamin M, Narison S. Phys. Lett. , 1989 , B220 :2513. Dosch H G,Narison S. Phys. Lett. , 1998 ,B417 :1734. Latorre J I , Pascual P ,Narison S. Z. Phys. , 1987 , C34 :3475. ZHOU Li-Juan ,MA Wei-Xing. Chin. Phys. Lett. , 2003 , 20 : 2137 ;Kisslinger L S ,Meissner T. Phys. Rev. , 1998 , C57 :15286. Frank M R ,Meissner T. Phys. Rev. , 1996 , C53 :24107. Kisslinger L S. Phys. Rev. , 1999 , D60 :065204 ; Frank M R , Tandy PC , Fai G. Phys. Rev. , 1991 , C43 :28088. Cahill R C ,Roberts C D. Phys. Rev. , 1985 , D32 :2419 ; Cahill R C.Nucl . Phys. , 1992 ,A543 :63c ; Tandy P C. Prog. Part. Nucl. Phys. ,1997 , 39 :1179. Praschifka J , Cahill R T, Roberts C D. Intern. J . Mod. Phys. , 1989 ,A4 :492910. Ji X D. Phys. Rev. Lett. , 1995 , 74 :1071 ; Thomas A W, Weise W.The Structure of the Nucleon. Singapore : John Wiley and Sons , 2000 ,170 —17211. Ovchinnikov A A ,Pivovarov A A. Yad. Fiz. , 1998 , 48 :1135 ;BakulevA P ,Radyushkin A V. Phys.Lett. ,1991 , B27 :223 ; Kremer M,Schier2holz G. Phys. Lett. , 1987 , B194 :28312. Shifman M A , Vainshtein A Z, Zakharov V Z. Nucl. Phys. , 1979 ,B147 :38513. Wilson K. On Products of Quantum Field Operators at Short Distances.USA Cornell University Press , 196414. Novikov V A , Shifman MA , Vainshtein V I et al. Nucl. Phys. ,1984 ,B237 :52515. Meissner T. Phys. Lett. , 1997 , B405 :8 —1316. Kisslinger L S , Linsuain O. Light-Cone Representation of the Quark Schw-inger-Dyson Equation ,hep-hp/ 0110111 V1 ; Kisslinger L S , Harly MA ,Linsuan O. Quark Propagator , Instatons and Gluon Propagator , hep-hp/990645717. Belyaev V M, Ioffe B L. Sov. Phys. JEPT, 1982 , 56 :49318. Roberts C D , Williams GA. Prog. Part. Nucl. Phys. , 1994 , 33 :47719. Takumi Doi , Noriyoshi Ishii , Makoto Oka et al. Nucl. Phys. , 2003 ,A721 :934c20. Polykov MV ,Weiss C. Phys. Lett. , 1996 , B387 :841

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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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沈阳化工大学材料科学与工程学院沈阳 110142

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

Received Date: 2004-04-05

Accepted Date: 1900-01-01

Available Online: 2005-08-05

Abstract: Based on Dyson - Schwinger Equations of quark propagator, we calculate quark-gluon mixed vacuum condensates 〈0│:qg_s σ_μνG_μνq:│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 λ²_u,d=0.7GeV² for u, d quarks, and ²_s=1.6GeV²for s quark which are consistent with other's calculations used completely different methods.

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Quark-Gluon Mixed Vacuum Condensates in Dyson-Schwinger Equations

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