Geodesic
Anomalies in the two-dimensional $\sigma$~model with fermions
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 3, pp. 401-406

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In the framework of the two-dimensional model of a chiral field augmented by a special interaction with fermions the anomaly of the axial current and the zerofrequency mode in the instanton field are found. 
@article{TMF_1983_55_3_a5,
     author = {R. G. Ismagilov and V. A. Franke},
     title = {Anomalies in the two-dimensional $\sigma$~model with fermions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {401--406},
     publisher = {mathdoc},
     volume = {55},
     number = {3},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_3_a5/}
}
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R. G. Ismagilov; V. A. Franke. Anomalies in the two-dimensional $\sigma$~model with fermions. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 3, pp. 401-406. http://geodesic.mathdoc.fr/item/TMF_1983_55_3_a5/