Geodesic
Renormalization by asymptotics in the case of spinor fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 2, pp. 186-197 
A. V. Selikhov; D. A. Slavnov. Renormalization by asymptotics in the case of spinor fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 2, pp. 186-197. http://geodesic.mathdoc.fr/item/TMF_1986_67_2_a2/
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     title = {Renormalization by asymptotics in the case of spinor fields},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The scheme of renormalization by asymptoties is described for the case of spinor fields. It is based on the expansion of products of $\gamma$ matrices with respect to antisymmetric products. Conditions are obtained under which Ward identities hold in this renormalization procedure. The generating functional for the anomalous corrections to the Ward identities is found.

[1] Ilin V. A., Imashev M. S., Slavnov D. A., TMF, 52:2 (1982), 177–186 | MR

[2] Il'in V. A., Slavnov D. A., Cauge invariant renormalizations of a generating functional, Preprint IHEP 83-80, IHEP, Serpukhov, 1983

[3] Slavnov D. A., TMF, 62:3 (1985), 335–344 | MR

[4] Bogolyubov N. N., Shirkov D. V., Vvedenie v teoriyu kvantovannykh polei, Nauka, M., 1976 | MR

[5] Slavnov D. A., TMF, 17:2 (1973), 169–177 | MR

[6] Ilin V. A., Imashev M. S., Slavnov D. A., Vestnik AN Kaz.SSR, 1983, no. 8, 39–47 | MR

[7] Symanzik K., Commun. Math. Phys., 18:3 (1970), 227–246 | DOI | MR | Zbl

[8] Adler S. L., Phys. Rev., 177:5 (1969), 2426–2438 | DOI