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Torsion Structure in Riemann-Cartan Manifold and Dislocation |
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| Authors: | Xiguo Lee Marcello Baldo Yishi Duan |
| Institution: | (1) Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Collisions, Lanzhou, 730000, People's Republic of China;(2) Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou, 730000, People's Republic of China;(3) Sezione di Catania, INFN, Corso Italia 57, I-95129 Catania, Italy |
| Abstract: | The U(1) gauge structure of torsion and dislocation in three dimensional Riemann-Cartan manifold have been studied. The local topological structure of dislocation have been presented by so-called topological method in which the quantum number is by Hopf indices and Brouwer degree. Furthermore, the relationship between the dislocation lines and Wilson lines of the U(1) gauge theory is discussed by using the Chern-Simons theory. |
| Keywords: | differential geometry and topology gauge field theories |
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