A new form of self-duality equations with topological term

Details A new form of self-duality equations with topological term A new form of self-duality equations with topological term

2005-08-15

arxiv.org/abs/hep-th/0508104v2

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 8 pages, no figures

Scientific paper

Based on the U(1) gauge potential decomposition theory and $\phi$-mapping theory, the topological inner structure of the self-duality (Bogomol'nyi-type) equations are studied. The special form of the gauge potential decomposition is obtained directly from the first of the self-duality equations. Using this decomposition, the topological inner structure of the Chern-Simons-Higgs (CSH) vortex is discussed. Furthermore, we obtain a rigorous self-dual equation with topological term for the first time, in which the topological term has been ignored by other physicists.

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