Geodesic
Bifurcations and “catastrophes” in the Higgs model with external sources
Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 1, pp. 36-47 
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/
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     title = {Bifurcations and {\textquotedblleft}catastrophes{\textquotedblright} in the {Higgs} model with external sources},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {49},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a2/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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