WEAK COUPLING APPROXIMATE SCHWINGER-DYSON EQUATION OF THE STRATON'S PROPAGATOR IN QUANTUM CHROMODYNAMICS AND ITS SOLUTIONS

Zhou Xian-jian; Xue Pei-you

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1980, Vol. 4> Issue(1) : 49-62

WEAK COUPLING APPROXIMATE SCHWINGER-DYSON EQUATION OF THE STRATON'S PROPAGATOR IN QUANTUM CHROMODYNAMICS AND ITS SOLUTIONS

Abstract
HTML
Reference
Related

PDF

Abstract：
The weak coupling approximate Schwinger-Dyson equation of the straton's pro-pagator in 4-dimensional QCD theory and the problem of the straton's confinement are discussed. It is proved that, when we choose Landaugauge, the obtained Sch-winger-Dyson integral equation of the straton's propagator can be transformed into a very simple form. Then we change it into a first order non-linear differential equation. It has two solutions: a confining solution and a solution that has no con-finement for the stratons. The effective potential in QCD is derived by functional method, and the ground-state energy difference between these two solutions is discussed. In our approximation, we calculate the vacuum graph to the 2-loop diagrams, We may conclude that stratons are not confined in our approximation.

References

[1]

t'Hooft, Nucl. Phys., B72 (1974), 461;B75 (1974), 461.[2] t'Hooft, C. G. Callen and D, J. Gross, Phys. Rev., D13 (1976), 1649.[3] 黄涛、薛丕友, 高能物理与核物理,3(1979), 188,[4] J. D. Bjorken and S. D. Drell, Relativiatic Quantum Fields, 290, McGraw-Hill Book Com-pant, 1965.[5] E. J. Eichten and F. L. Feinberg, Phys. Rev., D10 (1974), 3254.[6] 邝宇平, 动力学自发破缺, 广州会议评述报告, (1978).[7] R. Fukuda and T, Kugo, Nucl. Phys., B117 (1976), 250.[8] Predrag Cvitanoć, Phys. Rev., D14 (1976).1536.[9] R. Jaekiw, Phys. Rev., D9 (1974), 1686.[10] R.Fukuda and T. Kugo, Phys. Rev., D13 (1976), 3469.[11] J. M. Cormwall, R. Jackiw and E. Tomboulis, Phys. Rev., D10 (1974), 2428.

[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]	ZHOU Li-Juan , MA Wei-Xing . Quark-Gluon Mixed Vacuum Condensates in Dyson-Schwinger Equations. Chinese Physics C, 2005, 29(8): 757-760.
[3]	ZHOU Li-Juan , HE Xiao-Rong , MA Wei-Xing . Pomeron-Nucleon Coupling in QCD. Chinese Physics C, 2005, 29(9): 856-861.
[4]	ZHOU Yun-Qing , YANG Fang , LI Jia-Rong . Distribution Functions in QGP Kinetic Equations under Relaxation Time Approximation. Chinese Physics C, 2003, 27(6): 515-520.
[5]	JIN Meng , CHEN Ji-Sheng , LI Jia-Rong . A New Phase of Nuclear Matter under the Condition of High Temperature in QHD Model. Chinese Physics C, 2002, 26(5): 516-521.
[6]	Yue Chongxing , Yang Zhengtao , Huang Jinshu , Lu Gongru . Technicolor Dynamics Corrections to Wtb Coupling. Chinese Physics C, 1998, 22(6): 499-506.
[7]	Guo Hua , Wang Shunjin . Constrained Correlation Dynamics of QED in Canonical Form(Ⅰ) Equations of Motion for Correlation Green's Functions. Chinese Physics C, 1996, 20(1): 48-54.
[8]	Guo Hua , Wang Shunjin . Constrained Correlation Dynamics of QED in Canonical Form(Ⅱ)Equal Time Limit and Two-Body Correlation Dynamics. Chinese Physics C, 1996, 20(2): 131-137.
[9]	Wang Shunjin , Guo Hua . Constrained Correlation Dynamics of SU(N) Gauge Theories in Canonical form (Ⅰ) Equations of Motion for Correlation Green's Functions. Chinese Physics C, 1995, 19(3): 270-277.
[10]	Guo Hua , Wang Shunjin . Constrained Correlation Dynamics of SU(N) Gauge Theories in Canonical Form (Ⅲ) Equal Time Limit and Two-bodyCorrelation Dynamics. Chinese Physics C, 1995, 19(5): 455-467.
[11]	Bian Jianguo , Wang Jiahui . The Pseudo-scalar Solution of Bethe-Salpeter Equation in the Approximation of One Gluon Exchange. Chinese Physics C, 1994, 18(7): 591-600.
[12]	Shao Bin . Dyson Boson Realization of the Fermion Dynamical Symmetry SP(10) Model with G Pairs. Chinese Physics C, 1994, 18(1): 27-36.
[13]	ZUO Wei , WANG Shun-Jin . Dynamics of Many-Body Correlation Green's Functions Ⅲ Truncation with Respect to Crder. Chinese Physics C, 1993, 17(2): 179-185.
[14]	ZUO Wei , WANG Shun-Jin . Dynamics of Many-Body Correlation Green's Functions Ⅰ.The Equations of Motion for Many-Body Correlation. Chinese Physics C, 1992, 16(9): 840-848.
[15]	BIAN Jian-Guo . Non-Perturbative Propagators in QCD. Chinese Physics C, 1991, 15(11): 973-980.
[16]	ZHU Wei , SHEN Jian-Guo . A DYNAMICAL MODEL FOR THE GLUON DISTRIBUTION FUNCTION. Chinese Physics C, 1983, 7(3): 316-322.
[17]	WEI KAI-YU . EQUATION OF BEAM ENVELOP FUNCTIONS AND THEIR APPROXIMATE SOLUTIONS. Chinese Physics C, 1981, 5(6): 687-693.
[18]	HUANG CHAO-SHANG , DAI YUAN-BEN . THE PROCESS e⁺+e^-→π+q+q IN QUANTUM CHROMODYNAMICS. Chinese Physics C, 1981, 5(4): 412-416.
[19]	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.
[20]	KUANG YU-PING , YI YU-PING . DYNAMICAL SYMMETRY BREAKINGS IN QUANTUM CHROMODYNAMICS. Chinese Physics C, 1978, 2(6): 488-500.

Access

Get Citation

Zhou Xian-jian and Xue Pei-you. WEAK COUPLING APPROXIMATE SCHWINGER-DYSON EQUATION OF THE STRATON'S PROPAGATOR IN QUANTUM CHROMODYNAMICS AND ITS SOLUTIONS[J]. Chinese Physics C, 1980, 4(1): 49-62.

Zhou Xian-jian and Xue Pei-you. WEAK COUPLING APPROXIMATE SCHWINGER-DYSON EQUATION OF THE STRATON'S PROPAGATOR IN QUANTUM CHROMODYNAMICS AND ITS SOLUTIONS[J]. Chinese Physics C, 1980, 4(1): 49-62. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1978-11-11
Revised: 1900-01-01

Article Metric

Article Views(1933)
PDF Downloads(300)
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

WEAK COUPLING APPROXIMATE SCHWINGER-DYSON EQUATION OF THE STRATON'S PROPAGATOR IN QUANTUM CHROMODYNAMICS AND ITS SOLUTIONS

Zhou Xian-jian
Xue Pei-you

Received Date: 1978-11-11
Accepted Date: 1900-01-01
Available Online: 1980-02-05

Abstract: The weak coupling approximate Schwinger-Dyson equation of the straton's pro-pagator in 4-dimensional QCD theory and the problem of the straton's confinement are discussed. It is proved that, when we choose Landaugauge, the obtained Sch-winger-Dyson integral equation of the straton's propagator can be transformed into a very simple form. Then we change it into a first order non-linear differential equation. It has two solutions: a confining solution and a solution that has no con-finement for the stratons. The effective potential in QCD is derived by functional method, and the ground-state energy difference between these two solutions is discussed. In our approximation, we calculate the vacuum graph to the 2-loop diagrams, We may conclude that stratons are not confined in our approximation.