New Torsion Structure on Riemann-Cartan Manifold and Knots

Li Xiguo

Chinese Physics C> 1999, Vol. 23> Issue(9) : 906-913

New Torsion Structure on Riemann-Cartan Manifold and Knots

Li Xiguo ^,

Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Collisions, Lanzhou 730000Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou 730000

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Abstract：
The projection geometry stature of torsion on 3 dimensional Riemann Cartan manifold have been studied. It shows that the geomeny origin of linkingnumber may correspond to the projection torsion structure via both Chern-Simons theory and Witten's topological field theory. Furthermore, it is also indicated lines by means of a quanhzation method in which the quantum number is detennined by Hopf indices and Brouwer degree that wilson loops may defect lines.

References

[1]

Cartan H E.C.R. Acad,1922,174: 437 2 Luo Shijun.Int J.Ther.Phys,1995,34(10):2009—20143 Hehl F W, Paul von der Heyde,Kerlick G D.Rev.Mod.Phys.,1976,48(3):393—4264 Anandan J Phys.Lett.,1994,A195(12):284—2925 Kadic A,Edelen D G B. A Gauge Theory of Dislocation and Dislination(Lecture Notes in Physics No:174) Berlin: Springer, 19836 Ross D K.Int. J. Theor.Phys.,1989,28:13337 de Sabbata V.IL Nuovo Cimemto,1994,A107:363 8 Duan Yishi,Zhang S L.Int.J.Eng.Sci., 1990,28:689;1991, 29:1539 Duan Yishi, Zhang S L, Feng S X.J.Math.Phys,1994,35:9 10 Nash C.Differential Topology and Quantum Field Theory. San Diego: Academic Press Limited,199111 Witten E.Commun.Math.Phys., 1989, 121:351—39912 Nayak C.Phys. Rev., Lett,1996, 77(21):4418—442113 Birmingham D. Phys. Rep., 1991,209(45:129—34014 Haagensen P,Johnson K Nucl.Phys,1995, B439:597—616 15 Hehl F W et al. Phys. Rep.,1995,258:1—17116 Schwarz S. Lett Math. Phys.,1978,12:247; 17 Witten E.Comm.Math.Phys., 1989, 121:35118 Albeverio S,Schafer J.J. Math. Phys., 1995, 35:2157 19 Duan Yishi,Ge M L J.Lanzhou University (in Chnese), 1974,1: 1 (段一士,葛墨林.兰州大学学报(自然科学版),1974,1:1) 20 Wilson K G. Phys. Rev., 1974, D10:2445 21 Duan Y S, Lee Xiguo. Helv Phys. Acta. 1995, 68:513 22 Polyakov A M. Mod. Phys. Lett, 1988, 3:32523 Flank–Kamentskii M D, Vologodskii A V. Sov. Phys. Usp, 1981, 24:67924 Grundberg J, Hansson T H Karlhede A et al. Phys. Lett, 1989, B218:321 25 Li Xiguo, Duan Yishi. General Decomposition Theory of Gauge Potential in Proceeding of The National Symposium on Postdoctoral Held, Edited by Shi Wei, Beijing: Academic Press, 1995, 640 26 Huang Yongchang.J. Lanzhou Univesity(in Chinese), 1998, 33(Supplement):93—98 (黄永畅.兰州大学学报,1998,33(物理学专辑):93—98)27 Duan Y S, Lin J C.φ–Mapping Theory and its Applications. in Proceeding of Johns Hopkin Workshop 11, Edited by ban Y S, Domokes G Kovesi–Domokes, Singopere: World Scientific, 198828 Schwarz A S.Topology for Physicist, Springer–Verlag, 1994

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Li Xiguo. New Torsion Structure on Riemann-Cartan Manifold and Knots[J]. Chinese Physics C, 1999, 23(9): 906-913.

Li Xiguo. New Torsion Structure on Riemann-Cartan Manifold and Knots[J]. Chinese Physics C, 1999, 23(9): 906-913. shu

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Received: 1998-07-16
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

New Torsion Structure on Riemann-Cartan Manifold and Knots

Corresponding author: Li Xiguo,

Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Collisions, Lanzhou 730000Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou 730000

Received Date: 1998-07-16

Accepted Date: 1900-01-01

Available Online: 1999-09-05

Abstract: The projection geometry stature of torsion on 3 dimensional Riemann Cartan manifold have been studied. It shows that the geomeny origin of linkingnumber may correspond to the projection torsion structure via both Chern-Simons theory and Witten's topological field theory. Furthermore, it is also indicated lines by means of a quanhzation method in which the quantum number is detennined by Hopf indices and Brouwer degree that wilson loops may defect lines.

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New Torsion Structure on Riemann-Cartan Manifold and Knots

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