Topological current of point defects and its bifurcation

Details Topological current of point defects and its bifurcation Topological current of point defects and its bifurcation

1999-10-09

arxiv.org/abs/hep-th/9910084v1

Mod.Phys.Lett. A14 (1999) 2011-2023

Physics

High Energy Physics

High Energy Physics - Theory

revtex,14 pages,no figure

Scientific paper

10.1142/S0217732399002078

From the topological properties of a three dimensional vector order parameter, the topological current of point defects is obtained. One shows that the charge of point defects is determined by Hopf indices and Brouwer degrees. The evolution of point defects is also studied. One concludes that there exist crucial cases of branch processes in the evolution of point defects when the Jacobian $D(\frac \phi x)=0$.

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