The branch process of the cosmic strings

Details The branch process of the cosmic strings The branch process of the cosmic strings

1999-10-14

arxiv.org/abs/hep-th/9910104v1

J.Math.Phys. 41 (2000) 2616

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 10 figures

Scientific paper

In the light of $\phi$-mapping method and the topological tensor current theory, the topological structure and the topological quantization of topological defects are obtained under the condition that Jacobian $J(\phi/v)\neq0$. When $J(\phi/v)=0$, it is shown that there exists the crucial case of branch process. Based on the implicit function theorem and the Taylor expansion, the generation, annihilation and bifurcation of the linear defects are detailed in the neighborhoods of the limit points and bifurcation points of $\phi$-mapping, respectively.

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