Geodesic
V. A. Fock and N. N. Bogoliubov and their role in establishing modern quantum field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 3, pp. 380-393 
O. I. Zavialov; A. M. Malokostov. V. A. Fock and N. N. Bogoliubov and their role in establishing modern quantum field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 3, pp. 380-393. http://geodesic.mathdoc.fr/item/TMF_1999_120_3_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The relation between the Wightman axioms in quantum field theory and the "$S$-matrix" Bogoliubov axioms is discussed. The choice of the Fock representation of the canonical commutation relations for asymptotic field variables is interpreted as a condition for the correct formulation of the relativistic scattering problem.

[1] R. Iost, Obschaya teoriya kvantovannykh polei, Mir, M., 1967 | MR

[2] R. Striter, A. Vaitman, PCT, spin i statistika i vse takoe, Nauka, M., 1966

[3] N. N. Bogolyubov, A. A. Logunov, A. I. Oksak, I. T. Todorov, Obschie printsipy kvantovoi teorii polya, Nauka, M., 1987 | MR

[4] V. Bargmann, Ann. Math., 59:2 (1954), 1 | DOI | MR | Zbl

[5] D. Hall, A. S. Wightman, Math. Phys. Medd. Danske Vid. Selsk., 31:5 (1957) | MR

[6] V. S. Vladimirov, Metody teorii funktsii mnogikh kompleksnykh peremennykh, Nauka, M., 1964 | MR

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

[8] N. N. Bogolyubov, B. V. Medvedev, M. K. Polivanov, Voprosy teorii dispersionnykh sootnoshenii, Gostekhizdat, M., 1958 | MR

[9] O. I. Zavyalov, Perenormirovannye diagrammy Feinmana, Nauka, M., 1979 | MR

[10] O. I. Zavyalov, A. M. Malokostov, “Kvantovaya teoriya polya s nefokovskimi asimptoticheskimi polyami: suschestvovanie $S$-matritsy”, TMF, 121:1 (1999), 25–39 | DOI | Zbl

[11] V. A. Fok, Raboty po kvantovoi teorii polya, Izd-vo Leningradskogo un-ta, L., 1957

[12] J. von Neumann, Compos. Math., 6 (1938), 1 | MR | Zbl

[13] L. Garding, A. S. Wightman, Proc. Nat. Acad. Sci. USA, 40 (1954), 617 | DOI | MR | Zbl

[14] P. A. M. Dirak, Printsipy kvantovoi mekhaniki, Fizmatgiz, M., 1960 | MR

[15] B. V. Medvedev, UMN, 49:5 (1994), 83 | MR | Zbl

[16] R. Haag, Phys. Rev., 112 (1958), 669 | DOI | MR | Zbl

[17] N. N. Bogolyubov, DAN SSSR, 82 (1952), 217 | MR | Zbl

[18] N. N. Bogolyubov, O. S. Parasyuk, DAN SSSR, 100:1 (1955), 25 | MR | Zbl

[19] N. N. Bogoliubov, O. S. Parasiuk, Acta Math., 97 (1957), 227 | DOI | MR

[20] N. N. Bogolyubov, O. S. Parasyuk, Izv. AN SSSR. Ser. matem., 20:5 (1956), 585 | MR | Zbl

[21] O. S. Parasyuk, Ukr. mat. zh., 12:3 (1960), 287 | MR