Geodesic
On equations for the coefficient functions of the $S$-matrix in quantum field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 1, pp. 37-46 Cet article a éte moissonné depuis la source Math-Net.Ru

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Equations of evolution and resolvent type are constructed for the coefficient functions of the $S$-matrix and Greens's functions. The algebraic equivalence of the Sehwinger equations and the resolvent equations for the coefficient functions is proved. 
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S. S. Ivanov; D. Ya. Petrina; A. L. Rebenko. On equations for the coefficient functions of the $S$-matrix in quantum field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 1, pp. 37-46. http://geodesic.mathdoc.fr/item/TMF_1974_19_1_a3/

[1] N. N. Bogolyubov, B. V. Medvedev, M. K. Polivanov, Voprosy teorii dispersionnykh sootnoshenii, Fizmatgiz, 1958 ; Н. Н. Боголюбов, А. А. Логунов, И. Т. Тодоров, Основы аксиоматического подхода в квантовой теории поля, «Наука», 1969 ; Б. В. Медведев, В. П. Павлов, М. К. Поливанов, А. Д. Суханов, ТМФ, 13 (1973), 3 | MR | MR

[2] D. Ya. Petrina, Izv. AN SSSR, ser. matem., 32 (1968), 1052 | MR | Zbl

[3] A. L. Rebenko, TMF, 11 (1972), 301 | MR

[4] S. S. Ivanov, D. Ya. Petrina, DAN SSSR, 188 (1969), 776 ; 210 (1973), 59 ; С. С. Иванов, Канд. дисс., Ин-т математики АН УССР, Киев, 1972 | MR

[5] D. Ya. Petrina, S. S. Ivanov, A. L. Rebenko, Preprint ITP-72-163E, Kiev, 1972

[6] S. S. Ivanov, D. Ya. Petrina, A. L. Rebenko, Preprint ITP-73-92E, Kiev, 1973

[7] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, Gostekhizdat, 1957 | MR

[8] V. A. Scherbina, TMF, 14 (1973), 342

[9] D. A. Kirzhnits, ZhETF, 41 (1961), 551 | Zbl

[10] T. C. Soffer, A. Visconti, Phys. Rev., 196 (1967), 1386 | DOI

[11] T. G. Taylor, T. Yoshimura, Preprint, King's College, London, 1973

[12] M. K. Polivanov, DAN SSSR, 100 (1955), 1061 | MR | Zbl

[13] K. Symanzik, J. Math. Phys., 7 (1966), 510 | DOI | MR

[14] E. S. Fradkin, DAN SSSR, 98 (1954), 47 ; Тр. ФИ АН СССР, 29:7 (1965) | MR | Zbl

[15] D. S. Kershaw, Report 73-099, Maryland, 1973