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

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

  • 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.
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    [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.

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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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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.

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