Geodesic
Realization of an integral with respect to anticommuting variables
Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 1, pp. 46-50 
B. N. Valuev. Realization of an integral with respect to anticommuting variables. Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 1, pp. 46-50. http://geodesic.mathdoc.fr/item/TMF_1979_40_1_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that the integral with respect to anticommuting variables defined by Berezin can be realized as a trace on the Clifford algebra. This realization in fact makes it possible to define the integral more precisely.

[1] F. A. Berezin, Metod vtorichnogo kvantovaniya, «Nauka», 1965 | MR

[2] F. A. Berezin, Matem. zam., 1 (1967), 269 | MR | Zbl

[3] F. A. Berezin, UMN, 24:3 (1969), 3 | MR

[4] V. N. Popov, Kontinualnye integraly v kvantovoi teorii polya i statisticheskoi fizike, Atomizdat, 1976 | MR

[5] V. I. Ogievetskii, L. Mezinchesku, UFN, 117:4 (1975), 637 | DOI | MR

[6] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, «Nauka», 1976 | MR

[7] B. N. Valuev, Preprint OIYaI R-17, 11020, Dubna, 1977