Geodesic
Exact instanton-anti-instanton solutions and semiclassical expansion in the~$\sigma$ model with fermions
Teoretičeskaâ i matematičeskaâ fizika, Tome 65 (1985) no. 1, pp. 60-69

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The effective action obtained after exact integration with respect to the fermion fields is extremal on configurations that can be interpreted as instanton-anti-instanton solutions. The single-loop contribution of the obtained solutions to the functional integral is estimated. 
@article{TMF_1985_65_1_a5,
     author = {R. G. Ismagilov},
     title = {Exact instanton-anti-instanton solutions and semiclassical expansion in the~$\sigma$ model with fermions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {60--69},
     publisher = {mathdoc},
     volume = {65},
     number = {1},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_65_1_a5/}
}
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R. G. Ismagilov. Exact instanton-anti-instanton solutions and semiclassical expansion in the~$\sigma$ model with fermions. Teoretičeskaâ i matematičeskaâ fizika, Tome 65 (1985) no. 1, pp. 60-69. http://geodesic.mathdoc.fr/item/TMF_1985_65_1_a5/