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

Abstract
HTML
Reference
Related

PDF

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

[1]	Ya-Peng Zhao , Rui-Rui Zhang , Han Zhang , Hong-Shi Zong . Chiral phase transition from the Dyson-Schwinger equations in a finite spherical volume. Chinese Physics C, 2019, 43(6): 063101. doi: 10.1088/1674-1137/43/6/063101
[2]	Fei Li , Zi-qiang Zhang , Gang Chen . R⁴ corrections to holographic Schwinger effect. Chinese Physics C, 2018, 42(12): 123109. doi: 10.1088/1674-1137/42/12/123109
[3]	J. B. Wei , H. Chen , H. -J. Schulze . Two-flavor hybrid stars with the Dyson-Schwinger quark model. Chinese Physics C, 2017, 41(11): 115101. doi: 10.1088/1674-1137/41/11/115101
[4]	ZHOU Li-Juan , ZHENG Bo , ZHONG Hong-Wei , MA Wei-Xing . Temperature dependence of quarks and gluon vacuum condensate in the Dyson-Schwinger Equations at finite temperature. Chinese Physics C, 2015, 39(3): 033101. doi: 10.1088/1674-1137/39/3/033101
[5]	JIANG Jun-Qin . Quark Condensate in Two-Dimensional SU(N_C) Lattice Gauge Theory with Massive Wilson Quarks. Chinese Physics C, 2007, 31(1): 19-22.
[6]	SHI Yuan-Mei , PING Jia-Lun , HE Han-Xin . Two Renormalization Approaches for the Dyson-Schwinger Equations in the Infrared. Chinese Physics C, 2006, 30(9): 833-837.
[7]	Jiang Junqin . The Calculation of the Fermion Condensates by Using the Improved Hamiltonian. Chinese Physics C, 1998, 22(10): 891-895.
[8]	Chen Xiangjun . Classical Transport Equation of Gluons in QGP. Chinese Physics C, 1997, 21(7): 597-603.
[9]	He Zejun . Characteristic Dilepton Distribution for Quark-Gluon Matter. Chinese Physics C, 1997, 21(3): 269-274.
[10]	Jiang Junqin , Xu Guocai , Chen Qizhou . The Calculation of M_v/m in the Lattice Schwinger Model with Massive Wilson Fermions. Chinese Physics C, 1994, 18(3): 222-228.
[11]	Shao Bin . Dyson Boson Realization of the Fermion Dynamical Symmetry SP(10) Model with G Pairs. Chinese Physics C, 1994, 18(1): 27-36.
[12]	Bian Jianguo . Discussion on the Translational Invariance of the Quark and Mixed Condensates. Chinese Physics C, 1994, 18(6): 534-540.
[13]	XU Guocai , JIANG Junqin , CHEN Qizhou . Variational Study of 〈ψψ〉 in the Lattice Schwinger Model with Wilson Fermions. Chinese Physics C, 1993, 17(11): 1011-1015.
[14]	LUO Xiang-Qian , CHEN Qi-Zhou . Fermion Condensates in Lower Dimensional Gauge Theories. Chinese Physics C, 1992, 16(8): 685-695.
[15]	BIAN Jian-Guo , HUANG Tao . Correction to Goldstein Equation from the Gluon Condensate Diagram. Chinese Physics C, 1992, 16(6): 510-517.
[16]	Zheng Bo . Exact Ground State of Lattice Schwinger Model. Chinese Physics C, 1989, 13(S3): 259-262.
[17]	WU Ji-Min , ZHAO Pei-Ying . ANALYTIC CALCULATION FOR GLUON CONDENSATION IN SU (2) LATTICE GAUGE THEORY. Chinese Physics C, 1987, 11(1): 64-67.
[18]	XUE She-Sheng , XIAN Ding-Chang . THE STOCHASTIC EQUATIONS IN THE LATTICE GAUGE FIELD THEORY AND THE SCHWINGER-KYSON EQUATION FOR THE WILSON LOOP VARIABLE. Chinese Physics C, 1985, 9(6): 703-711.
[19]	Zhou Xian-jian , Xue Pei-you . WEAK COUPLING APPROXIMATE SCHWINGER-DYSON EQUATION OF THE STRATON'S PROPAGATOR IN QUANTUM CHROMODYNAMICS AND ITS SOLUTIONS. Chinese Physics C, 1980, 4(1): 49-62.
[20]	ZHOU GUANG-ZHAO , SU ZHAO-BING . ON THE DYSON EQUATION AND THE WARD-TAKAHASHI IDENTITIES OF THE CLOSED TIME PATH GREEN'S FUNCTIONS. Chinese Physics C, 1979, 3(3): 314-326.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2004-04-05
Revised: 1900-01-01

Article Metric

Article Views(2967)
PDF Downloads(533)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.

HTML

Reference (1)

Quark-Gluon Mixed Vacuum Condensates in Dyson-Schwinger Equations

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article