We study the topology of Nielsen-Olesen's local field theory of single dual string.Based on the Chern-Simons field theory in three dimensons,we find many strings that can form world sheets in four dimensions.These...We study the topology of Nielsen-Olesen's local field theory of single dual string.Based on the Chern-Simons field theory in three dimensons,we find many strings that can form world sheets in four dimensions.These stringshave important relation to the zero point of the complex scalar field.These world sheets of strings can be expressed bythe topological invariant number,Hopf index,and Brower degree.Nambu-Goto's action is obtained from the Nielsen'saction definitely by using φ-mapping theory.展开更多
基金National Natural Science Foundation of China and the Doctor Education Fund of the Ministry of China
文摘We study the topology of Nielsen-Olesen's local field theory of single dual string.Based on the Chern-Simons field theory in three dimensons,we find many strings that can form world sheets in four dimensions.These stringshave important relation to the zero point of the complex scalar field.These world sheets of strings can be expressed bythe topological invariant number,Hopf index,and Brower degree.Nambu-Goto's action is obtained from the Nielsen'saction definitely by using φ-mapping theory.