THE RELATION BETWEEN THE STATIC SPHERICALLY SYMMETRIC SOLUTION OF CLASSICAL <EM>SU</EM>(<EM>N</EM>) YANGMILLS EQUATION IN THE WIDE SENSE AND STATIC SPHERICALLY SYMMETRIC SOURCE

MA ZHONG-QI

Chinese Physics C> 1982, Vol. 6> Issue(2) : 176-184

THE RELATION BETWEEN THE STATIC SPHERICALLY SYMMETRIC SOLUTION OF CLASSICAL SU(N) YANGMILLS EQUATION IN THE WIDE SENSE AND STATIC SPHERICALLY SYMMETRIC SOURCE

MA ZHONG-QI

Institute of High Energy Physics, Academia Sinica

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper we discuss the relation between the normal static and sphericallysymmetric solution of classical SU(N) Yang-Mills equation in the wide sense and thestatic and spherically symmetric external source. We show that: (i) The normalstatic and spherically symmetric solution must be Coulombian for the diagonalizablenon-uniform static and spherically symmetric external source, if in some sphericall shell r₁＜r＜r₂ the source is extended in N or (N-1) order; (ii) It is impossible toconfine the normal static and spherically symmetric solution which is not strict sphe-rically symmetric in finite region.

References

[1]

S. L. Glashow, Nucl. Phys.,22(1961), 579; S. Weinberg, Phys.Rev. Lett., 19(1967), 1264;A.Salam, Proceedings of the 8th Nobel symposium Stockholm 1968. ed. by N. Svartholm, p. 367.[2] J. C. Pati, and A. salam, Phys. Rev. Lett., 31(1973), 661;H. Georgi and s. L. Glaehow, Phys.Rev. Lett., 32(1974), 438.[3] A. Aetor, Rev. Mod. Phys., 51(1979), 461.[4] J. E. Mandula, Phys. Lett., 678(1977), 175; M. Magg, Phys. Lett., 74B(1978), 246[5] J. E. Mandula, Phys. Lett., 698 (1977 ) , 495.[6] P. Sikivie and N. Weisa, Phys. Rev., D18(1978), 3809.[7] P. Pirl and P. Presuajder, Nucl. Phys., B142(1978), 229.[8] R. Jackiw, L. Jaeobs and C. Rebbi, Phys. Rev., D20(1979), 474.[9] M.Magg, Phys. Lett., 78B(1978), 481;Ref. TH.2653-CERN (1979).[10] R. Macciejko, J. Math Phys., 19(1978), 2491.[11] S. J. Chang and N. Weias, Phys. Rev., 20D(1979),869; P. Sikivie, Phys. Rev, 20D(1979), 877.[12] M.Magg, Phys. Lett., 77B(1978), 199.[13] 东方晓、周咸建、黄涛、薛王友,高能物理与核物理,4(1980), 724;马中骐、东方晓、周咸建、薛王友,高能物理与核物理,5(1981), 182.[14] 马中骐、东方晓、周咸建、黄涛、薛王友、黄念宁、中国科学,No.10 (1980), 955.[15] 谷超豪,复旦学报(自然科学版),No.2(1977), 30.[16] 谷超豪,复且学报(自然科学版),No.2(1976), 51.[17] C. N. Yang, Phys. Rev. Lett., 33(1974), 445.[18] 谷超豪,规范场数学结构的研究,1978,未发表.[19] 侯伯宇、谷超豪、胡和生,复旦学报(自然科学版),No.1(1977), 92.

[1]	ZHOU Qi-Hua , MA Bo-Qiang . Research of SU(3) 27-plet. Chinese Physics C, 2007, 31(1): 1-6.
[2]	HUI Ping , CHEN QiZhou . 0⁺⁺ Glueball Mass in 2+1-D SU(3) LGT. Chinese Physics C, 2000, 24(9): 805-809.
[3]	Hin Ping . Convergent Behavior of (2+1)-D SU(2)Glueball Mass and Glueball Wavefunction. Chinese Physics C, 1999, 23(12): 1171-1176.
[4]	Hul Ping . (2+1)-D SU(3)0⁺⁺ Glueball Wavefunction. Chinese Physics C, 1999, 23(4): 340-346.
[5]	Hui Ping , Cai Pengfei , Chen Qizhou . Analytic calculation of Glueball Mass In (2+1)-D SU(2)Lattice Gauge Theory. Chinese Physics C, 1996, 20(1): 55-60.
[6]	Zhao Liu . Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Fields. Chinese Physics C, 1994, 18(2): 119-126.
[7]	Zhao Liu . Supersymmetric Self-Dual Yang-Mills Fields. Chinese Physics C, 1994, 18(1): 20-26.
[8]	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.
[9]	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.
[10]	ZHENG Wei-Hong , GUO Shuo-Hong . THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT. Chinese Physics C, 1989, 13(1): 83-86.
[11]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE MC CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(4): 316-319.
[12]	LIU Jin-Ming , ZHENG Wei-Hong , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(3) LATTICE CAUGE THEORY. Chinese Physics C, 1988, 12(3): 420-424.
[13]	ZHENG Wei-Hong , LIU Jin-Ming , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1988, 12(1): 134-136.
[14]	LI ZI-PING . LAGRANGIAN MULTIPLIER AND MASSIVE YANG-MILLS FIELDS YANG-MILLS FIELDS. Chinese Physics C, 1982, 6(5): 555-559.
[15]	MA ZHONG-QI , DONG FANG-XIAO , ZHOU XIAN-JIAN , XUE PEI-YOU . CLASSICAL STATIC AND SPHERICALLY SYMMETRIC SOLUTION OF SU(3) GAUGE FIELD WITH A STATIC AND ECTERNAL EXTERNAL SOURCE. Chinese Physics C, 1981, 5(2): 182-191.
[16]	Tao Fu-zhen , Yao Qi-yuan , Ou Zhi , He Zhi-qiang . THE SPHERICAL SOLUTIONS OF THE SCALAR FIELD EQUATION IN SU (2) GAUGE FIELD THEORY. Chinese Physics C, 1980, 4(2): 179-185.
[17]	Dong Fang-xiao , Zhou Xian-jian , Huang Tao , Xue Pei-you . THE TIME-DEPENDENCES OF THE STATIC SOLUTION OF SU(2) AND SU(3) GAUGE THEORY AT THE PRESENCE OF STATIC EXTENDED SOURCE. Chinese Physics C, 1980, 4(6): 724-734.
[18]	HOU BO-YU , HOU BO-YUAN . STATICAL SPHEROSYMMETRICAL SOURCELESS SOLUTION OF SU(2) GAUGE FIELD——THE SELFDUALITY,UNIQUENESS AND THE SELF INDUCED CHARGE CURRENT. Chinese Physics C, 1979, 3(3): 225-265.
[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]	HOU BO-YU . NONEQUIVALENT SU(2) GAUGE POTENTIALS UNDER EQUAL FIELD STRENTHS AND SOURCES. Chinese Physics C, 1978, 2(1): 61-66.

Access

Get Citation

MA ZHONG-QI. THE RELATION BETWEEN THE STATIC SPHERICALLY SYMMETRIC SOLUTION OF CLASSICAL SU(N) YANGMILLS EQUATION IN THE WIDE SENSE AND STATIC SPHERICALLY SYMMETRIC SOURCE[J]. Chinese Physics C, 1982, 6(2): 176-184.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1980-11-14
Revised: 1900-01-01

Article Metric

Article Views(1644)
PDF Downloads(270)
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, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

THE RELATION BETWEEN THE STATIC SPHERICALLY SYMMETRIC SOLUTION OF CLASSICAL SU(N) YANGMILLS EQUATION IN THE WIDE SENSE AND STATIC SPHERICALLY SYMMETRIC SOURCE

Institute of High Energy Physics, Academia Sinica

Received Date: 1980-11-14

Accepted Date: 1900-01-01

Available Online: 1982-04-05

Abstract: In this paper we discuss the relation between the normal static and sphericallysymmetric solution of classical SU(N) Yang-Mills equation in the wide sense and thestatic and spherically symmetric external source. We show that: (i) The normalstatic and spherically symmetric solution must be Coulombian for the diagonalizablenon-uniform static and spherically symmetric external source, if in some sphericall shell r₁＜r＜r₂ the source is extended in N or (N-1) order; (ii) It is impossible toconfine the normal static and spherically symmetric solution which is not strict sphe-rically symmetric in finite region.

HTML

Reference (1)

THE RELATION BETWEEN THE STATIC SPHERICALLY SYMMETRIC SOLUTION OF CLASSICAL SU(N) YANGMILLS EQUATION IN THE WIDE SENSE AND STATIC SPHERICALLY SYMMETRIC SOURCE

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, [email protected]

Email This Article

THE RELATION BETWEEN THE STATIC SPHERICALLY SYMMETRIC SOLUTION OF CLASSICAL SU(N) YANGMILLS EQUATION IN THE WIDE SENSE AND STATIC SPHERICALLY SYMMETRIC SOURCE

HTML

目录