Geodesic
Vortices, strings, and pseudoinstantons
Teoretičeskaâ i matematičeskaâ fizika, Tome 83 (1990) no. 2, pp. 207-221 Cet article a éte moissonné depuis la source Math-Net.Ru

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Vortices and strings in four-dimensional space are represented as a closed sector of solutions of the Yang–Mills equations in spaces of signatures $({+}{+}{+}{+})$ and $({+}{+}{-}{-})$. Pseudoinstantons are introduced as solutions of the self-duality equations for the gauge fields in the space of signature $({+}{+}{-}{-})$. Ansatzes that permit reduction of the Yang–Mills equation to the Liouville, sinh-Gordon, and sine-Gordon equations are given. 
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A. D. Popov. Vortices, strings, and pseudoinstantons. Teoretičeskaâ i matematičeskaâ fizika, Tome 83 (1990) no. 2, pp. 207-221. http://geodesic.mathdoc.fr/item/TMF_1990_83_2_a4/

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