A Study on the Complete Integrability of the <i>SU</i>(2) and <i>SU</i>(3) Self-Dual Yang-Mills Source-Free Field Equation System

Li Fubin

Chinese Physics C> 1992, Vol. 16> Issue(S2) : 155-161

A Study on the Complete Integrability of the SU(2) and SU(3) Self-Dual Yang-Mills Source-Free Field Equation System

Li Fubin

Department of Mathematics and Mechanics, China University of Mining Technology, Xuzhou, Jiangsu;CCAST(World Laboratory), Beijing, China

Abstract
HTML
Reference
Related

PDF

Abstract：
With the theory of harmonic maps and the eight-dimensional Riemannian manifold, the completely integrable SU(2) and SU(3) self-dual Yang-mills source-free field equations are described. Sixteen independent Killing vector fields are determined, two transformation groups which map solutions into solutions are constructed, and conjecture on the complete integrability of systems by the inverse scattering method is formulated.

[1]	Abdel Magied DIAB . Charmed Meson Structure across Crossover from SU(4) Polyakov Quark Meson Model with Isospin Asymmetry. Chinese Physics C, 2026, 50(1): 1-19.
[2]	Zuting Luo , Meirong Tang , Zhaoyi Xu . Testing Einstein Maxwell Power-Yang-Mills Hair via Black Hole Photon Rings. Chinese Physics C, 2026, 50(1): 1-18.
[3]	Ulaş Özdem . Unveiling the electromagnetic structure and intrinsic dynamics of spin-3/2 hidden-charm pentaquarks: A comprehensive QCD analysis. Chinese Physics C, 2025, 49(10): 103106. doi: 10.1088/1674-1137/ade95a
[4]	Manpreet Kaur , Sushil Kumar , Sukhjeet Singh , A. K. Jain . Signature splitting in three-quasineutron rotational band 3/2[521]_ν$\otimes $1/2[660]_ν$\otimes $1/2[660]_νof ¹⁵⁵Dy. Chinese Physics C, 2025, 49(10): 104103. doi: 10.1088/1674-1137/ade95e
[5]	Erdem Sucu , İzzet Sakallı . Quantum tunneling and Aschenbach effect in nonlinear Einstein-Power-Yang-Mills AdS black holes. Chinese Physics C, 2025, 49(10): 105101. doi: 10.1088/1674-1137/add8fe
[6]	. SU(3) flavor symmetry analysis of hyperon non-leptonic two body decays. Chinese Physics C, 2025, 49(12): 123101. doi: 10.1088/1674-1137/adf1f1
[7]	Yu-xin Cheng , De-hao Zhao , Yue-yang Shao , Li Gong , Tao Wang , Xiao-shen Kang . SU(3) analysis for B(E2) anomaly. Chinese Physics C, 2025, 49(10): 104105. doi: 10.1088/1674-1137/aded05
[8]	Hong-Lei Li , Peng-Cheng Lu , Cong-Feng Qiao , Zong-Guo Si , Ying Wang . Study of the Standard Model and Majorana neutrino contributions to ${ B}^{{ +}} { \to} { K}^{{ (*){ \pm}}}{ \mu}^{ +}{ \mu}^{{ \mp}}$. Chinese Physics C, 2019, 43(2): 023101. doi: 10.1088/1674-1137/43/2/023101
[9]	YAN Jia-Qing , XIE Yu-Guang , HU Tao , LU Jun-Guang , ZHOU Li , QU Guo-Pu , CAI Xiao , NIU Shun-Li , CHEN Hai-Tao . Simulation and performance study of ceramic THGEM. Chinese Physics C, 2015, 39(6): 066001. doi: 10.1088/1674-1137/39/6/066001
[10]	ZHANG Zhou-Li , HE Yuan , ZHANG Bin , LI De-Run , SHI Ai-Min , PAN Gang , DU Xiao-Nan , SUN Lie-Peng . Study of influence of radial matcher section end shape on RFQ cavity frequency. Chinese Physics C, 2014, 38(7): 077007. doi: 10.1088/1674-1137/38/7/077007
[11]	HUANG Jiang , XIONG Yong-Qian , CHEN De-Zhi , LIU Kai-Feng , YANG Jun , LI Dong , YU Tiao-Qin , FAN Ming-Wu , YANG Bo . A permanent magnet electron beam spread system used fora low energy electron irradiation accelerator. Chinese Physics C, 2014, 38(10): 107008. doi: 10.1088/1674-1137/38/10/107008
[12]	ZHANG Cong , HE Yuan , ZHAO Hong-Wei , ZHANG Sheng-Hu . Multipacting simulation and analysis of a taper quarter wave cavity by using Analyst-PT3P. Chinese Physics C, 2012, 36(4): 362-366. doi: 10.1088/1674-1137/36/4/012
[13]	BAO Ai-Dong , YAO Hai-Bo , WU Shi-Shu . Topological approach to examine the singularity of the axial-vector current in an Abelian gauge field theory (QED). Chinese Physics C, 2009, 33(3): 177-180. doi: 10.1088/1674-1137/33/3/003
[14]	YE Yan-Lin , ZHOU Xiao-Hong , LIU Wei-Ping , MA Yu-Gang , ZHANG Yu-Hu , XU Fu-Rong . Outline of the progress in the study of radioactive nuclear physics and super-heavy nuclei. Chinese Physics C, 2008, 32(S2): 1-7.
[15]	ZHU Xiong-Wei , GAO Jie . Study on ILC bunch compressor. Chinese Physics C, 2008, 32(11): 928-930. doi: 10.1088/1674-1137/32/11/016
[16]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[17]	Medina Ablikim , HUANG Wei-Cheng , . New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance. Chinese Physics C, 2002, 26(4): 338-345.
[18]	PENG Quan-Ling , SUN Jian , ZHAO Guang-Yuan , SHI Cai-Tu . Principle and Software Design of Helmhotz Coil Measurement System. Chinese Physics C, 2001, 25(9): 920-925.
[19]	Yang Jianjun , Ma Boqiang , Li Guanglie . Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[20]	BES Collaboration . Experimental Study of Resonance f₂(1270) in the J/ψ Hadronic Decay. Chinese Physics C, 1993, 17(2): 97-106.

Access

Get Citation

Li Fubin. A Study on the Complete Integrability of the SU(2) and SU(3) Self-Dual Yang-Mills Source-Free Field Equation System[J]. Chinese Physics C, 1992, 16(S2): 155-161.

Li Fubin. A Study on the Complete Integrability of the SU(2) and SU(3) Self-Dual Yang-Mills Source-Free Field Equation System[J]. Chinese Physics C, 1992, 16(S2): 155-161. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1991-06-05

Fund

Supported by the National Natural Science Foundation of China.

Article Metric

Article Views(1092)
PDF Downloads(2)
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

A Study on the Complete Integrability of the SU(2) and SU(3) Self-Dual Yang-Mills Source-Free Field Equation System

Li Fubin

Department of Mathematics and Mechanics, China University of Mining Technology, Xuzhou, Jiangsu;CCAST(World Laboratory), Beijing, China

Received Date: 1991-06-05

Fund Project: Supported by the National Natural Science Foundation of China.

Abstract: With the theory of harmonic maps and the eight-dimensional Riemannian manifold, the completely integrable SU(2) and SU(3) self-dual Yang-mills source-free field equations are described. Sixteen independent Killing vector fields are determined, two transformation groups which map solutions into solutions are constructed, and conjecture on the complete integrability of systems by the inverse scattering method is formulated.