Chinese Physics C > 1991, Vol. 15 > Issue(11): 973-980

Non-Perturbative Propagators in QCD

BIAN Jian-Guo^,

Institute of High Energy Physics,Beijing 100039

Abstract
HTML
Reference
Related

PDF

Abstract：
We have derived the gluon and quark complete propagators under chain approximation in the presence of gluon condensation <Ω│G ²│Ω> and quark condensation <Ω│ψψ│Ω>.The nonvanishing vacuum average value for gluon composite operator <Ω│Aαμ(x)Abv(y)│Ω> is expanded into a series in terms of two point distance (x—y) in Lorentz gauge condition.The series is of translation invariance as compared with the series in fixed gauge condition.<Ω│G ²│Ω> is introduced as the series coefficient when we take into account the correction of <Ω│Aαμ(x)Abv(y)│Ω> to quark propagator.

References

[1]

M. A. Shifman, A. I. Vainshtein and V.I.Zaknarov, Nucl. Phys., B147(1979),385; B147(1979), 448;B147(1979), 519.[2] T. I. Larsson, Phys. Rev., D32(1984), 956;T. Huang and Z. Huang, Phys. Rev.,D39(1988), 1213.L. J. Reinders, H. Rubinstein and S. Yazaki, Phys, Rep., 127(1985), 1.[3] M. A. Shifman, Nucl. Phys., B173(1980), 13.[4] V. A. Novikov, M. A. Shifman et al., F. Phys., 32(1982), 585.[5] F. J. Yndurain, Quantum Chromodynamics, edited by W. Beiglbock et al.(Springer, New York, 1983),Chap. IV.[6] V.l.Chernyak and A. R. Zhitnitskii, Phys. Rep., 112(1984), 173.

[1]	JI Xiang-Dong,MA Jian-Ping,YUAN Feng. QCD Factorization for Semi-inclusive Deep-Inelastic Scattering at Low Transverse Momentum. Chinese Physics C, 2007, 31(9): 857-859.
[2]	ZHAI Ji-Yuan,TANG Chuan-Xiang,ZHENG Shu-Xin. Experimental Study on the Beam Dynamics of Micro-Pulse Electron Gun. Chinese Physics C, 2006, 30(S1): 99-101.
[3]	ZHOU Li-Juan,HE Xiao-Rong,MA Wei-Xing. Pomeron-Nucleon Coupling in QCD. Chinese Physics C, 2005, 29(9): 856-861.
[4]	ZHANG Chao,ZHENG Xiao-Ping. Mean Field Dynamics and Color Conductivity of Cold and Dense Quark Matter. Chinese Physics C, 2002, 26(7): 721-727.
[5]	HE Han-Xin. Symmetry Relations and the Consistent Nonperturbative Approach of Studying Hadronic Physics. Chinese Physics C, 2002, 26(S1): 73-76.
[6]	LV Cai-Dian. Toward a Theory of Non-leptonic Two-Body B Decays in QCD. Chinese Physics C, 2002, 26(S1): 20-24.
[7]	ZHAO Xi,HUANG BangRong,ZHAO ShuSong. Dynamical Structure of Hadron Emission Sources. Chinese Physics C, 2000, 24(11): 1011-1017.
[8]	Li GuangLie,Yang JianJun,Shen HongQing. Study of Nonperturbative Corrections to the One-Gluon-Exchange Potentential. Chinese Physics C, 2000, 24(5): 384-389.
[9]	Jiang Jinhuan,Li Ziping. Quantization of a Scalar QED With Chern-Simons Term in the Batalin-Fradkin-Vilkovisky Scheme. Chinese Physics C, 1999, 23(8): 784-789.
[10]	Yang Jianjun,Li Guanglie,Huang Tao,Shen Hongqing. Nonperturbative QCD Corrections to One-Gluon Exchange Quark Potentials Under Lorentz Gauge Condition. Chinese Physics C, 1999, 23(7): 665-680.
[11]	Yue Chongxing,Yang Zhengtao,Huang Jinshu,Lu Gongru. Technicolor Dynamics Corrections to Wtb Coupling. Chinese Physics C, 1998, 22(6): 499-506.
[12]	Yang Jianjun,Ma Boqiang,Li Guanglie. Non-perturbative Quark Propagator and the Study of the Non-trivial Q²Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[13]	Chen Hong,Zhang Zongye. Nonperturbative Effect of Nonstrange Baryonic Spectrum. Chinese Physics C, 1996, 20(10): 937-944.
[14]	Liu Hang,Liu Jianye,Zhang Shaoguang,Li Junqing. Multifragmentation Process in HIC Simulated by Modified Quantum Molecular Dynamics. Chinese Physics C, 1995, 19(11): 1040-1046.
[15]	ZHU Wei,SHEN Jian-Guo. A DYNAMICAL MODEL FOR THE GLUON DISTRIBUTION FUNCTION. Chinese Physics C, 1983, 7(3): 316-322.
[16]	HUANG CHAO-SHANG. THE LARGE MOMENTUM BEHAVIOR OF THE ELECTROMAGNETIC TRANSITION FORM FACTOR F_A₁π(q²) IN QCD. Chinese Physics C, 1982, 6(2): 168-175.
[17]	HUANG CHAO-SHANG,DAI YUAN-BEN. THE PROCESS e⁺+e^-→π+q+q IN QUANTUM CHROMODYNAMICS. Chinese Physics C, 1981, 5(4): 412-416.
[18]	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.
[19]	HUANG TAO,XUE PEI-YOU. THE INFRARED STRUCTURE AND THE ELECTROMAGNETIC FORM FACTORS OF QUANTUM CHROMODYNAMICS IN TWO DIMENSIONS. Chinese Physics C, 1979, 3(2): 188-202.
[20]	KUANG YU-PING,YI YU-PING. DYNAMICAL SYMMETRY BREAKINGS IN QUANTUM CHROMODYNAMICS. Chinese Physics C, 1978, 2(6): 488-500.

Access

Get Citation

BIAN Jian-Guo. Non-Perturbative Propagators in QCD[J]. Chinese Physics C, 1991, 15(11): 973-980.

BIAN Jian-Guo. Non-Perturbative Propagators in QCD[J]. Chinese Physics C, 1991, 15(11): 973-980. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(3872)
PDF Downloads(419)
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

Non-Perturbative Propagators in QCD

BIAN Jian-Guo^,

Corresponding author:BIAN Jian-Guo,

Institute of High Energy Physics,Beijing 100039

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1991-11-05

Abstract:We have derived the gluon and quark complete propagators under chain approximation in the presence of gluon condensation <Ω│G²│Ω> and quark condensation <Ω│ψψ│Ω>.The nonvanishing vacuum average value for gluon composite operator <Ω│Aαμ(x)Abv(y)│Ω> is expanded into a series in terms of two point distance (x—y) in Lorentz gauge condition.The series is of translation invariance as compared with the series in fixed gauge condition.<Ω│G²│Ω> is introduced as the series coefficient when we take into account the correction of <Ω│Aαμ(x)Abv(y)│Ω> to quark propagator.