The Hidden Symmetries and Their Algebraic Structure of the Static Axially Symmetric SDYM Fields

HAO San-Ru

Chinese Physics C> 1993, Vol. 17> Issue(6) : 538-543

The Hidden Symmetries and Their Algebraic Structure of the Static Axially Symmetric SDYM Fields

HAO San-Ru ^,

Department of Physics,Changsha Normal University of Water Resources and Electric Power,410077

Abstract
HTML
Reference
Related

PDF

Abstract：
A new explicit transformation about the static axially symmetric self-dual Yang-Mills(SDYM) fields is presented.The theory has proved that the new transformation is a symmetric one.For the two kinds of the Lie algebraic generators of the Lie group SL (N.R)/SO(N),the corresponding transformations are given.By making use of the Yang-Baxter equality and their square brackets we have obtained the Loop and comformal algebraic structures of the symmetric transformations for the basic fields.All the results obtained in this paper can be directly generalized to the other models.

References

[1]

Dolan, L.，Roos, A.，Phys. Rev. , D22 (1980)，2018.[2]Hou, B. Y.，Ge. M. L. and Wu, Y. S.，Phys. Rev.，D24 (1981)，2238.[3]Dolan, L., Phys, Rev. Lett., 47 (1981)，1371.[4]Ge, M. L. and Wu, Y. S.，Phys. Lett.，B108 (1982)，411.[5]ForRacs, P.Harvath, Z. and Palla, L.，Phys. Rev.，D23 (1981)，1876.[6]Chau，L. L.，Ge , M. L. and Wu , Y. S.，Phys. Rev.，D25 (1982)，1080; 1086.[7]Chau ,L. L. Wu, Y. S.，Phys. Rev.，D26 (1982), 3581.[8]Chau ,L. L.，Ge, M. 1.and Sinha , A.，Wu, Y. S.，Phys.Lett.，B121 (1983)，391[9]Ueno. K. and Nakamura, Y.，Phys.Lett.，B109 (1982)，273.[10]吕景发、赵柳、葛墨林，中国科学，A4 (1991)，399.[11]Yang, C. N .,Phys, Rev. Lett.38 (1977)，1377.[12]Hou，B. Y. . Hou , B. Y . and Wang , P.，Intern. J. Mod. Phys.，A1 (1986) 193.[13]郝三如、李卫，高能物理与核物理，2(1989),120.[14]郝三如、李卫.高能物拥与梅物理.4(1989),320.[15]Semenov-Tian-Shansky. M. A.，Pull. RIMS.，21(1985)，1237.

[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 . A New Symmetric Transformation of the Static Axizlly Symmetric SDYM Fields. Chinese Physics C, 1993, 17(5): 412-416.
[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]	WU YONG-SHI . THE HOLONOMY FUNCTIONAL FORMULATION OF YANG-MILLS FIELD EQUATIONS. Chinese Physics C, 1979, 3(3): 382-386.
[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

HAO San-Ru. The Hidden Symmetries and Their Algebraic Structure of the Static Axially Symmetric SDYM Fields[J]. Chinese Physics C, 1993, 17(6): 538-543.

HAO San-Ru. The Hidden Symmetries and Their Algebraic Structure of the Static Axially Symmetric SDYM Fields[J]. Chinese Physics C, 1993, 17(6): 538-543. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2137)
PDF Downloads(469)
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 Hidden Symmetries and Their Algebraic Structure of the Static Axially Symmetric SDYM Fields

HAO San-Ru ^,

Corresponding author: HAO San-Ru,

Department of Physics,Changsha Normal University of Water Resources and Electric Power,410077

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-06-05

Abstract: A new explicit transformation about the static axially symmetric self-dual Yang-Mills(SDYM) fields is presented.The theory has proved that the new transformation is a symmetric one.For the two kinds of the Lie algebraic generators of the Lie group SL (N.R)/SO(N),the corresponding transformations are given.By making use of the Yang-Baxter equality and their square brackets we have obtained the Loop and comformal algebraic structures of the symmetric transformations for the basic fields.All the results obtained in this paper can be directly generalized to the other models.