THE NON-SELFDUAL SOLUTIONS OF CP(<EM>n</EM>) CHIRAL THEORY AND CORRESPONDING GAUGE FIELDS

HOU Bo-Yu; SHI Kang-Jie; WANG Yu-Bin; HOU Bo-Yuan; WANG Pei

Chinese Physics C> 1983, Vol. 7> Issue(2) : 150-159

THE NON-SELFDUAL SOLUTIONS OF CP(n) CHIRAL THEORY AND CORRESPONDING GAUGE FIELDS

Abstract
HTML
Reference
Related

PDF

Abstract：
The selfdual and non-selfdual solutions for the CP(n) Chiral fields are obtained by means of various methods of embeding the subgroup SU(m)(m≤n) into the SU(n+1) group space. We discuss the origin, the property and corresponding gauge fields as well as topological charges of non-selfdual solutions in detail. The non-selfdual solutions are induced from the present theoretical frames inevitably.

References

[1]

F. Gürsey and H C. Tze, YTP79-02; Proceadings of the 1980 Guangzhou Conference on Theore tical Particle Physics (Science Press, Beijing) p. 1019.[2] Y. L. Golo and A. M. Perelomov, Lett. Math. Phys., 2(1978), 477.[3] D. Adda P. Di Yecchia and M. Lüscher, Nucl. Phys., 146B (1978), 63;M. Lüscher, Phys. Lett., 78B (1978), 465.[4] H. Eichenherr, Nucl. Phys., 135B (1978), 1,[5] W. E. Zakharov and A. W. Mikhailov, JETP74 (1978), 1953.[6] Hou Bo-yu et al., Phys Lett., 93B (1980), 915.[7] R. Gil more, Lie Groups, Lie Algebras, and Some of Their Applications (A Wiley-Intersciencs Publication, 1974) Chapter 9.[8] U. Fano and G. Racah, Irreducible Tensorial Sets (Academic Press Inc, 1959) p. 146.[9] 侯伯宇、段一士、葛墨林, 中国科学, 21 (1978), 446.[10] M. E. Rose, Elementary Theory of Angular Momentum (John Wiley Sons, Inc. 1957), 65.

[1]	I. I. Bigi , Xian-Wei Kang , Hai-Bo Li . CP asymmetries in Strange Baryon Decays. Chinese Physics C, 2018, 42(1): 013101. doi: 10.1088/1674-1137/42/1/013101
[2]	WANG Dian-Fu , SUN Xiao-Yu , LIANG Chao . Dynamical CP violation at finite temperature. Chinese Physics C, 2012, 36(9): 805-809. doi: 10.1088/1674-1137/36/9/002
[3]	YIN Yu-Dong , HUANG Tao . Stability of the Classical Solutions of Gauge Theory. Chinese Physics C, 2002, 26(1): 28-34.
[4]	Xing Zhizhong . Quark Mass Matrices and CP Violation. Chinese Physics C, 1995, 19(7): 667-671.
[5]	QIU Rong . The Identity and Renormalization of Pure Gauge Fields in Coset Space of Abelian Chiral Group. Chinese Physics C, 1993, 17(3): 227-240.
[6]	WANG Xue-Lei , WANG Hai-Zhi , LU Gong-Ru . Strong CP Violation and Techniaxion. Chinese Physics C, 1992, 16(9): 794-800.
[7]	JING Si-Cong , RUAN Jie . BJORKEN-JOHNSON-LOW TECHNIQUE AND PERTURBATION STUDY ON CHIRAL ANOMALY IN ABELIAN COSET PURE GAUGE FIELD THEORY. Chinese Physics C, 1990, 14(11): 991-1000.
[8]	QIU Rong . THE EQUIVALENCE OF TWO TRANSFORMATIONS OF THE INVARIANCE OF LAGRANGIAN FUNCTION IN NON-ABELIAN GAUGE FIELD. Chinese Physics C, 1989, 13(4): 302-308.
[9]	JING Si-Cong , RUAN Tu-Nan . ON THE QUANTIZATION OF PURE GAUGE FIELDS ON COSET SPACE OF ABELIAN CHIRAL GROUP. Chinese Physics C, 1988, 12(6): 773-781.
[10]	XUE She-Sheng . A MEAN FIELD SOLUTION TO FOKKER-PLANCK EQUATION IN LATTICE GAUGE THEORIES. Chinese Physics C, 1988, 12(2): 178-181.
[11]	GUO Shuo-Hong , CHEN Hao . EXACT RESULTS FOR THE TOPOLOGICAL CHARGE OF 1+1D LATTICE GAUGE THEORY. Chinese Physics C, 1987, 11(6): 844-848.
[12]	RUAN Tu-Nan , JING Si-Cong , LIU Zu-Wei . CONFINEMENT PROPERTIES OF THE PURE GAUGE FIELDS ON COSET SPACE OF AN ABELIAN CHIRAL GROUP. Chinese Physics C, 1984, 8(1): 25-33.
[13]	RUAN Tu-Nan , LIU Zu-Wei , JING Si-Cong . CONFINEMENT PROPERTIES OF THE PURE GAUGE FIELDS ON COSET SPACE OF A NON-ABELIAN CHIRAL GROUP. Chinese Physics C, 1984, 8(2): 158-166.
[14]	CHEN FENG-ZHI , HAO CHUN . THE CP VIOLATION OF SU(7) MODEL. Chinese Physics C, 1982, 6(1): 30-35.
[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]	WANG PEI , HOU BO-YU . THE MULTISYNCHRO-SPHERICAL SOLUTIONS OF THE SU(N)GAUGE THEORY. Chinese Physics C, 1979, 3(5): 555-571.
[18]	WANG KE-LIN , HSIEN TING-CHANG , CHENG HSI-THE . ON THE MAGNETIC MONOPOLE AND DIPOLE SOLUTION OF THE SU(N) GAUGE FIELD THEORY IN A CURVED SPACE. Chinese Physics C, 1978, 2(3): 275-279.
[19]	GU CHAO-HAO . THE LOOP PHASE-FACTOR APPROACH TO GAUGE FIELDS. Chinese Physics C, 1978, 2(2): 97-108.
[20]	YUAN TU-NAN , TU TUNG-SHENG . STRONG INTERACTION AND CHIRAL GAUGE FIELD. Chinese Physics C, 1978, 2(6): 481-487.

Access

Get Citation

HOU Bo-Yu, SHI Kang-Jie, WANG Yu-Bin, HOU Bo-Yuan and WANG Pei. THE NON-SELFDUAL SOLUTIONS OF CP(n) CHIRAL THEORY AND CORRESPONDING GAUGE FIELDS[J]. Chinese Physics C, 1983, 7(2): 150-159.

HOU Bo-Yu, SHI Kang-Jie, WANG Yu-Bin, HOU Bo-Yuan and WANG Pei. THE NON-SELFDUAL SOLUTIONS OF CP(n) CHIRAL THEORY AND CORRESPONDING GAUGE FIELDS[J]. Chinese Physics C, 1983, 7(2): 150-159. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(1827)
PDF Downloads(445)
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 NON-SELFDUAL SOLUTIONS OF CP(n) CHIRAL THEORY AND CORRESPONDING GAUGE FIELDS

Corresponding author: HOU Bo-Yu,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1983-04-05

Abstract: The selfdual and non-selfdual solutions for the CP(n) Chiral fields are obtained by means of various methods of embeding the subgroup SU(m)(m≤n) into the SU(n+1) group space. We discuss the origin, the property and corresponding gauge fields as well as topological charges of non-selfdual solutions in detail. The non-selfdual solutions are induced from the present theoretical frames inevitably.