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Topological Quantization of Instantons in SU(2) Yang--Mills Theory |
| ZHONG Wo-Jun1;DUAN Yi-Shi2 |
| 1Department of Physics and Electronic Information, Gannan Teacher's College, Ganzhou 3410002Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000 |
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| Cite this article: |
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ZHONG Wo-Jun, DUAN Yi-Shi 2008 Chin. Phys. Lett. 25 1534-1537 |
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Abstract By decomposing SU(2) gauge potential in four-dimensional Euclidean SU(2) Yang--Mills theory in a new way, we find that the instanton number related to the isospin defects of a doublet order parameter can be topologically quantized by the Hopf index and Brouwer degree. It is also shown that the instanton number is just the sum of the topological charges of the isospin
defects in the non-trivial sector of Yang--Mills theory.
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| Keywords:
02.40.Pc
11.15.-q
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Received: 03 September 2007
Published: 29 April 2008
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