THE HOLONOMY FUNCTIONAL FORMULATION OF YANG-MILLS FIELD EQUATIONS

WU YONG-SHI

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> 1979, Vol. 3> Issue(3) : 382-386

THE HOLONOMY FUNCTIONAL FORMULATION OF YANG-MILLS FIELD EQUATIONS

WU YONG-SHI

Institute of Theoretical Physics,Academia Sinica

Abstract
HTML
Reference
Related

PDF

Abstract：
Starting from the integral formalism of gauge fields,we reformulate the equa-tions of motion for gauge fields——sourceless Yang-Mills equations——as functional-differential equations of the holonomy functional (i.e.,the phase factors of closedloops).From these equations we derive a set of infinite number of conservationlaws in the functional-differential from for the gauge theories in a two-dimensionalspace-time.

References

[1]

D. Bohm and Y. Aharanov, Phys.Rev., 115 (1959), 485.[2] T. T. Wu and C. N. Yang, Phys.Rev.D12(1975), 3843.[3] 夏道行，复旦学报(自然科学版)，1976 第1期 82页。[4] 沈纯理，复旦学报(自然科学版)，1976 第2期 61页。[5] V. N. Gribov, Materials for the 12th LNPI Winter School, and Nucl. Phys., B139 (1978), 1.[6] 陆启铿，物理学报，23 (1974), 249.[7] S. Kobayashi and K. Nomizu, "Foundations of Differential Geometry”Vol, I (1963).[8] 谷超豪，复旦学报(自然科学版)，1976年第2期51页.[9] C. N. Yang, Phys. Rev. Lett., 33 (1974), 445.[10] E. Brézin, C. Itzykaon. J. Zinn-Justin and J. B. Zuber, (to be published).

[1]	Andrea Addazi , Pietro Donà , Antonino Marcianò . Dynamical interactions of dark energy and dark matter: Yang-Mills condensate and QCD axions. Chinese Physics C, 2018, 42(7): 075102. doi: 10.1088/1674-1137/42/7/075102
[2]	Yacine Bouguerra , Mustapha Maamache , Jeong Ryeol Choi . Nonlinear description of Yang-Mills cosmology: cosmic inflation and the accompanying Hannay's angle. Chinese Physics C, 2017, 41(6): 065103. doi: 10.1088/1674-1137/41/6/065103
[3]	Jong-Ping Hsu . Quark confinement, new cosmic expansion and general Yang-Mills symmetry. Chinese Physics C, 2017, 41(1): 015101. doi: 10.1088/1674-1137/41/1/015101
[4]	. Addendum: Quark Confinement, New Cosmic Expansion and General Yang-Mills Symmetry. Chinese Physics C, 2017, 41(12): 129102.
[5]	HSU Jong-Ping . A model of uni ed quantum chromodynamics and Yang-Mills gravity. Chinese Physics C, 2012, 36(5): 403-409. doi: 10.1088/1674-1137/36/5/005
[6]	WANG Dian-Fu , SUN Xiao-Yu , CHANG Xiao-Jing . Dynamical CP violation of the generalized Yang-Mills model. Chinese Physics C, 2011, 35(2): 130-134. doi: 10.1088/1674-1137/35/2/004
[7]	JIA Duo-Jie , AI De-Zhen . Dual Superconductor Vacuum in Strongly-Coupled Yang-Mills Theory. Chinese Physics C, 2007, 31(5): 431-436.
[8]	Zhao Liu . Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Fields. Chinese Physics C, 1994, 18(2): 119-126.
[9]	Zhao Liu . Supersymmetric Self-Dual Yang-Mills Fields. Chinese Physics C, 1994, 18(1): 20-26.
[10]	HAO San-Ru . The Hidden Symmetries and Their Algebraic Structure of the Static Axially Symmetric SDYM Fields. Chinese Physics C, 1993, 17(6): 538-543.
[11]	Zhao Liu . Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Model. Chinese Physics C, 1993, 17(S4): 361-369.
[12]	Zhao Liu . Supersymmetrization of Self-Dual Yang-Mills Theory. Chinese Physics C, 1993, 17(S4): 347-353.
[13]	Li Fubin . A Study on the Complete Integrability of the SU(2) and SU(3) Self-Dual Yang-Mills Source-Free Field Equation System. Chinese Physics C, 1992, 16(S2): 155-161.
[14]	LI Fu-Bin . Description of the Complete Integrability of the SU(2) and SU(3) Self-Dual Yang-Mills Source-Free Field Equations System and Further Discussions. Chinese Physics C, 1992, 16(5): 408-413.
[15]	XUE She-Sheng , XIAN Ding-Chang . A LOCALLY GAUGE INVARIANT MEAN FIELD STUDY OF THE Yang-Mills-Higgs FIELD COUPLING SYSTEM ON LATTICE. Chinese Physics C, 1985, 9(2): 174-182.
[16]	WU Yong-Shi , GE Mo-Lin , LU Chun-Rong . THE PRINCIPAL CHIRAL MODEL FORMULATION OF ERNST EQUATION AND SDYM EQUATION. Chinese Physics C, 1984, 8(4): 409-415.
[17]	LI ZI-PING . LAGRANGIAN MULTIPLIER AND MASSIVE YANG-MILLS FIELDS YANG-MILLS FIELDS. Chinese Physics C, 1982, 6(5): 555-559.
[18]	WANG KE-LIN . GENERATING FUNCTIONAL AND STRUCTURE OF VACUUM. Chinese Physics C, 1981, 5(3): 378-380.
[19]	ZHAO BAO-HENG , YAN MU-LIN . CANONICAL QUANTIZATION OF GAUGE FIELDS (I)——THE YANG-MILLS FIELD. Chinese Physics C, 1978, 2(6): 501-510.
[20]	WU YONG-SHI , LEE HWA-CHUNG , KUO SHUO-HUNG , HSEEN TING-CHANG . ON A PSEUDO-PARTICLE SOLUTION OF THE YANG-MILLS FIELD. Chinese Physics C, 1978, 2(4): 371-373.

Access

Get Citation

WU YONG-SHI. THE HOLONOMY FUNCTIONAL FORMULATION OF YANG-MILLS FIELD EQUATIONS[J]. Chinese Physics C, 1979, 3(3): 382-386.

WU YONG-SHI. THE HOLONOMY FUNCTIONAL FORMULATION OF YANG-MILLS FIELD EQUATIONS[J]. Chinese Physics C, 1979, 3(3): 382-386. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1979-02-19
Revised: 1900-01-01

Article Metric

Article Views(1670)
PDF Downloads(254)
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

THE HOLONOMY FUNCTIONAL FORMULATION OF YANG-MILLS FIELD EQUATIONS

WU YONG-SHI

Institute of Theoretical Physics,Academia Sinica

Received Date: 1979-02-19
Accepted Date: 1900-01-01
Available Online: 1979-06-05

Abstract: Starting from the integral formalism of gauge fields,we reformulate the equa-tions of motion for gauge fields——sourceless Yang-Mills equations——as functional-differential equations of the holonomy functional (i.e.,the phase factors of closedloops).From these equations we derive a set of infinite number of conservationlaws in the functional-differential from for the gauge theories in a two-dimensionalspace-time.