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

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《中国物理C》（英文）编辑部

2024年10月30日

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

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

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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

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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.

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[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
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[5]	WANG Xue-Lei , WANG Hai-Zhi , LU Gong-Ru . Strong CP Violation and Techniaxion. Chinese Physics C, 1992, 16(9): 794-800.
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[14]	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.
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[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.
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[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.

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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

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

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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.