Geodesic
Bifurcations and ``catastrophes'' in the Higgs model with external sources
Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 1, pp. 36-47

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The one-dimensional Higgs model with external point sources is analyzed from the point of view of catastrophe theory. The set of bifurcation points corresponds to a set of catastrophes. On quantization, the presence in the solutions of bifurcations leads to a rearrangement of the vacuum. The stability of the solutions is also considered. 
@article{TMF_1981_49_1_a2,
     author = {O. Sh. Rasizade},
     title = {Bifurcations and ``catastrophes'' in the {Higgs} model with external sources},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {36--47},
     publisher = {mathdoc},
     volume = {49},
     number = {1},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a2/}
}
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O. Sh. Rasizade. Bifurcations and ``catastrophes'' in the Higgs model with external sources. Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 1, pp. 36-47. http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a2/