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

Abstract
HTML
Reference
Related

PDF

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

[1]	Qi-Qin Jing , Ke-Jian He , Zhi Luo . Effects of torsion charge on optical appearance and additional photon rings of an asymmetric thin-shell wormhole. Chinese Physics C, 2024, 48(11): 115102. doi: 10.1088/1674-1137/ad666c
[2]	JIAO Yi , ZHOU De-Min , WANG Jiu-Qing , QIN Qing , XU Gang , FANG Shou-Xian . Application of Frequency Map Analysis to the BEPCⅡ Lattice. Chinese Physics C, 2007, 31(6): 586-592.
[3]	ZHU Li-Hua . In-Beam γ-Ray Nuclear Structure Study in HI-13 Tandem Accelerator: Present and Future. Chinese Physics C, 2006, 30(S2): 127-130.
[4]	MA Xu-Bo , FANG Shuang-Shi , ZHU Yu-Can , LU GoNG-Ru , YANG Hong-Xun . Search for Exotic States at BESⅢ. Chinese Physics C, 2005, 29(4): 329-336.
[5]	LI Liu-Ji , HUANG Yong-Chang . Origin of Cosmological Constant from Bulk Manifold. Chinese Physics C, 2005, 29(9): 844-846.
[6]	ZHANG Zhi-Qing , FANG Shuang-Shi , WEI Dai-Hui , ZHU Yu-Can , LU Gong-Ru . η_c Physics at BESⅢ. Chinese Physics C, 2004, 28(6): 569-575.
[7]	LI Xi-Guo , Marcello Baldo , SONG Jian-Jun , LIU Fang . Diffusion Equations in Lie Group Manifold. Chinese Physics C, 2001, 25(1): 86-88.
[8]	BES Collaboration . J/ψ Physics at BES. Chinese Physics C, 1999, 23(2): 97-102.
[9]	Yan Jun , Tao Biyou , Wang Shunjin . Temperature Duality on Riemann Surface and Cosmological Solutions for Genus g=1 and 2. Chinese Physics C, 1999, 23(7): 655-664.
[10]	Yang FuZhong , Hou Boyuan , Ma Zhongqi . Modified Seiberg-Witten Monopole Equations on Three-Manifold. Chinese Physics C, 1998, 22(12): 1112-1118.
[11]	Chen Lin , Jiang Huangqing . Inclusive(π,η) Reactins on Nuclei. Chinese Physics C, 1994, 18(6): 553-558.
[12]	YAN Jun , HU Shi-Ke . The Modular Duality of Specific Heat on Genus g Riemann Surface. Chinese Physics C, 1993, 17(6): 534-537.
[13]	LI Fu-Bin . Solutions in Riemannian Space-Time of Arbitrary Dimension. Chinese Physics C, 1992, 16(7): 670-672.
[14]	CHEN Yi-Xin , GAO Hong-Bo . Integrability of Liouville System on High Genus Riemann Surface.Ⅰ. Classical Case. Chinese Physics C, 1992, 16(4): 323-334.
[15]	YAN Jun , HU Shi-Ke . The World Sheet Soliton and free energy on High Genus Riemann Surface. Chinese Physics C, 1991, 15(5): 414-419.
[16]	JIANG Huan-Qing . μ^－ CAPTURE IN NUCLEI. Chinese Physics C, 1990, 14(6): 532-536.
[17]	LI Yuan-Jie . A MODEL OF CURVATURE,TORSION AND STRONG GRAVIEY. Chinese Physics C, 1989, 13(11): 990-995.
[18]	XU Kai-Wen , SHEN Jian-Min . THE VIRASORO ALGEBRA ON TORUS WITH GENERAL METRIC. Chinese Physics C, 1989, 13(7): 594-599.
[19]	HAO San-Ru , LI Wei . INFINITE CONFORMAL SYMMETRIES AND RIEMANN-HILBERT TRANSFORMATION IN SUPER PRINCIPAL CHIRAL MODEL. Chinese Physics C, 1989, 13(4): 320-327.
[20]	ZHANG Yu-Shun , JIANG Huan-Qing . PION-SCATTERING FROM VIBRATIONAL NUCLEUS. Chinese Physics C, 1986, 10(5): 570-577.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1998-07-16
Revised: 1900-01-01

Article Metric

Article Views(2983)
PDF Downloads(569)
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

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.

HTML

Reference (1)

New Torsion Structure on Riemann-Cartan Manifold and Knots

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article