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Article Navigation >  Nuclear Physics Review  > 2007  >  24(4): 268-273

LIU Zi-yu, LI Xi-guo, #, ZHANG Peng-ming, LI Yong-qing. Topological Structure of SU(2) ChernSimons Vortices[J]. Nuclear Physics Review, 2007, 24(4): 268-273. doi: 10.11804/NuclPhysRev.24.04.268
Citation: LIU Zi-yu, LI Xi-guo, #, ZHANG Peng-ming, LI Yong-qing. Topological Structure of SU(2) ChernSimons Vortices[J]. Nuclear Physics Review, 2007, 24(4): 268-273. doi: 10.11804/NuclPhysRev.24.04.268
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Topological Structure of SU(2) ChernSimons Vortices

doi: 10.11804/NuclPhysRev.24.04.268

  • 1 Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China; 2 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Collisions Accelerator of Lanzhou, Lanzhou 730000, China;3 Graduate School of Chinese Academy of Sciences, Beijing 100049, China

  • Received Date: 1900-01-01
  • Rev Recd Date: 1900-01-01
  • Publish Date: 2007-12-20
  • The selfdual equation and its solution in SU(2) DunneJackiwPiTrugenberger model has Been discussed with special ansatz for the Lie algebraic structures of su(2) and gauge potential decomposition. We obtainer a new concrete selfdual equation and found the relationship between SU(2) ChernSimons vortices and topological number which is determined by Hopf indices and Brouwer degrees of mapping. (two positions， one scale， one phase per vortex and one charge of each vortex) mvortices solutions are discribed by using 5m parameters. The quantization of flux is also studied in this case.
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Topological Structure of SU(2) ChernSimons Vortices

doi: 10.11804/NuclPhysRev.24.04.268
  • 1 Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China; 2 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Collisions Accelerator of Lanzhou, Lanzhou 730000, China;3 Graduate School of Chinese Academy of Sciences, Beijing 100049, China
  • Received Date: 1900-01-01
  • Rev Recd Date: 1900-01-01
  • Publish Date: 2007-12-20

Abstract: The selfdual equation and its solution in SU(2) DunneJackiwPiTrugenberger model has Been discussed with special ansatz for the Lie algebraic structures of su(2) and gauge potential decomposition. We obtainer a new concrete selfdual equation and found the relationship between SU(2) ChernSimons vortices and topological number which is determined by Hopf indices and Brouwer degrees of mapping. (two positions， one scale， one phase per vortex and one charge of each vortex) mvortices solutions are discribed by using 5m parameters. The quantization of flux is also studied in this case.

LIU Zi-yu, LI Xi-guo, #, ZHANG Peng-ming, LI Yong-qing. Topological Structure of SU(2) ChernSimons Vortices[J]. Nuclear Physics Review, 2007, 24(4): 268-273. doi: 10.11804/NuclPhysRev.24.04.268
Citation: LIU Zi-yu, LI Xi-guo, #, ZHANG Peng-ming, LI Yong-qing. Topological Structure of SU(2) ChernSimons Vortices[J]. Nuclear Physics Review, 2007, 24(4): 268-273. doi: 10.11804/NuclPhysRev.24.04.268
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