Geodesic
Light fermions and instantons in the $\sigma$ model
Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 3, pp. 465-471 Cet article a éte moissonné depuis la source Math-Net.Ru

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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},
     year = {1984},
     volume = {59},
     number = {3},
     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/

[1] Ismagilov R. G., Franke V. A., TMF, 55:3 (1983), 401–406 | MR

[2] Baluni F., Phys. Lett., 106B:6 (1981), 491–496 | DOI

[3] Abrikosov A. A., Nucl. Phys., 106B:6 (1981), 491–496

[4] Shuryak E. V., The role of instantons in QGD, Preprint 81–118, IYaF SO AN SSSR, Novosibirsk, 1981, 42 pp.

[5] Perelomov A. M., UFN, 134:4 (1981), 577–607 | DOI | MR

[6] Fateev V. A., Frolov I. V., Schwartz A. S., Nucl. Phys., B154:1 (1979), 1–20 | DOI

[7] Schwartz A. S., Commun. Math. Phys., 64:3 (1979), 233–268 | DOI | MR