Light fermions and instantons in the $\sigma$ model
Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 3, pp. 465-471

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The leading terms are calculated in the expansion of the functional integral with respect to the mass of the fermions in an arbitrary topological sector for the $\sigma$ model described by Ismagilov and Franke [1]. It is shown that the addition of fermions leads to dissociation of the instantons.
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     author = {R. G. Ismagilov},
     title = {Light fermions and instantons in the $\sigma$ model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {465--471},
     publisher = {mathdoc},
     volume = {59},
     number = {3},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_59_3_a12/}
}
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R. G. Ismagilov. Light fermions and instantons in the $\sigma$ model. Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 3, pp. 465-471. http://geodesic.mathdoc.fr/item/TMF_1984_59_3_a12/