Geodesic
Operator realization of generalized Pauli-Villars regularization
Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 3, pp. 322-330 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Vector space of “quasistates” is constructed, in which the notion of “field operator at fixed point” can be determined. The usual and chronological products of “fields at fixed point” are defined as operators in this space. In the space of quasistates there is a subspace of “regular quasistates”, which can be provided with a norm and scalar product. When the factorisation over this norm is performed, the space of regular quasistates acquires the structure of the usual Fock space of states. Reduction of operators corresponding to the usual and chronological products of the fields, from the space of quasistates to the subspace of regular quasistates generates operator-valued distributions in the Fock space. Thus the regularisation procedure turns out to be incorporated intrinsically in the construction of the vector space. 
@article{TMF_1975_23_3_a3,
     author = {D. A. Slavnov},
     title = {Operator realization of generalized {Pauli-Villars} regularization},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {322--330},
     year = {1975},
     volume = {23},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_23_3_a3/}
}
TY  - JOUR
AU  - D. A. Slavnov
TI  - Operator realization of generalized Pauli-Villars regularization
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1975
SP  - 322
EP  - 330
VL  - 23
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1975_23_3_a3/
LA  - ru
ID  - TMF_1975_23_3_a3
ER  - 
%0 Journal Article
%A D. A. Slavnov
%T Operator realization of generalized Pauli-Villars regularization
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1975
%P 322-330
%V 23
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1975_23_3_a3/
%G ru
%F TMF_1975_23_3_a3
D. A. Slavnov. Operator realization of generalized Pauli-Villars regularization. Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 3, pp. 322-330. http://geodesic.mathdoc.fr/item/TMF_1975_23_3_a3/

[1] D. A. Slavnov, TMF, 17 (1973), 342 | MR | Zbl

[2] N. N. Bogolyubov, O. S. Parasyuk, Izv. AN SSSR, matem. ser., 20 (1956), 585 | MR | Zbl

[3] O. S. Parasyuk, Ukr. matem. zh., 12 (1960), 237 | MR

[4] D. A. Slavnov, TMF, 22 (1975), 19 | MR

[5] I. M. Gelfand, G. E. Shilov, Prostranstva osnovnykh i obobschennykh funktsii, Obobschennye funktsii, vyp. 2, Fizmatgiz, 1958 | MR

[6] O. I. Zavyalov, TMF, 16 (1973), 145

[7] O. I. Zavyalov, P. B. Medvedev, TMF, 18 (1974), 27 | MR