Spinor Decomposition of SU(2) Gauge Potential and Spinor Structures of Chern-Simons and Chern Density

Communications in Theoretical Physics

Volumn 40, Issue 4, 2003, Pages 447-450

  Duan, Yi Shi ^a   Liu, Xin ^a   Fu, Li Bin ^b  

^a LANZHOU UNIVERSITY   (China)

^b INSTITUTE OF APPLIED PHYSICS AND COMPUTATIONAL MATHEMATICS   (China)

Author keywords

Chern Simons; Knot; Spinor; SU(2) gauge potential decomposition; The second Chern class

Indexed keywords

EID: 0346335622     PISSN: 02536102     EISSN: None     Source Type: Journal    
DOI: 10.1088/0253-6102/40/4/447     Document Type: Article

References (25)

1. L. Faddeev and A.J. Niemi, Phys. Rev. Lett. 82 (1999) 1624; Phys. Lett. B464 (1999) 90.
2. L. Faddeev and A.J. Niemi, Phys. Rev. Lett. 82 (1999) 1624; Phys. Lett. B464 (1999) 90.
3. Y.M. Cho, J. Korean Phys. Soc. 38 (2001) 151.
4. Y.S. Duan, X. Liu, and P.M. Zhang, J. Phys.: Condens. Matt. 14 (2002) 7941.
5. Y.S. Duan, S. Li, and G.H. Yang, Nucl. Phys. B514 (1998) 705.
6. S. Li, Y. Zhang, and Z.Y. Zhu, Phys. Lett. B487 (2000) 201.
7. Y.S. Duan and L.B. Fu, J. Math. Phys. 39 (1998) 4343.
8. R. Jackiw, V.P. Nair, and Pi So-Young, Phys. Rev. D62 (2000) 085018.
9. S. Nash and S. Sen, Topology and Geometry of Physicists, Academic Press, London (1983).
10. S.S. Chern and J. Simon, Ann. Math. 99 (1974) 48
11. S. Deser, R. Jackiw, and S. Templeton, Ann. Phys. (NY) 140 (1982) 372.
12. Y.S. Duan and X.H. Meng, J. Math. Phys. 34 (1993) 1149.
13. L. Faddeev and A. Niemi, Nature 387 (1997) 58.
14. R.A. Battye and P.M. Sutcliffe, Phys. Rev. Lett. 81 (1998) 4798.
15. E. Langmann and A.J. Niemi, Phys. Lett. B463 (1999) 252.
16. S.S. Chern, Ann. Math. 45 (1944) 747; Ann. Math. 46 (1945) 674.
17. S.S. Chern, Ann. Math. 45 (1944) 747; Ann. Math. 46 (1945) 674.
18. Y.S. Duan, SLAC-PUB-3301 (1984).
19. Y.S. Duan, L.B. Fu, and G. Jia, J. Math. Phys. 41 (2000) 4379.
20. Y.S. Duan, H. Zhang, and S. Li, Phys. Rev. B58 (1998) 125.
21. Y.S. Duan, X. Liu, and P.M. Zhang, J. Phys. A36 (2003) 563.
22. É. Goursat, A Course in Mathematical Analysis, Vol. I, translated by E.R. Hedrick, Dover, New York (1904).
23. Y.S. Duan and H. Zhang, Eur. Phys. J. D5 (1999) 47.
24. J.A. Schouten, Tensor Analysis for Physicists, Clarendon, Oxford (1951).
25. T. Eguchi, P.B. Gilkey, and A.J. Hanson, Phys. Rep. 66 (1980) 213.