Structure of Multi-Meron Knot Action

Physics – Condensed Matter – Superconductivity

Scientific paper

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7 pages, Latex2e

Scientific paper

We consider the structure of multi-meron knot action in the Yang-Mills theory and in the CP^1 Ginzburg-Landau model. Self-dual equations have been obtained without identifying orientations in the space-time and in the color space. The dependence of the energy bounds on topological parameters of coherent states in planar systems is also discussed. In particular, it is shown that a characteristic size of a knot in the Faddeev-Niemi model is determined by the Hopf invariant.

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