Geodesic
Integral equation for the causal distributions and their self-similar asymptotic behavior in the ladder $\Phi^3$ model
Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 3, pp. 302-312 Cet article a éte moissonné depuis la source Math-Net.Ru

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A method is proposed for deriving an integral equation for the spectral density of the causal distributions of the single-particle diagonal matrix element of the commutator of scalar currents. In the ladder approximation of the $\Phi^3$ model in the case of a massless exchange particle, the equation is solved exactly. Closed expressions are found for the spectral functions of the Deser–Gilbert–Sudarshan and Jost–Lehmann–Dyson representations for the single-particle matrix element of the current commutator. 
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     title = {Integral equation for the causal distributions and their self-similar asymptotic behavior in the ladder $\Phi^3$~model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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}
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A. N. Kvinikhidze; B. A. Magradze; V. A. Matveev; M. A. Mestvirishvili; A. N. Tavkhelidze. Integral equation for the causal distributions and their self-similar asymptotic behavior in the ladder $\Phi^3$ model. Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 3, pp. 302-312. http://geodesic.mathdoc.fr/item/TMF_1980_45_3_a1/

[1] N. N. Bogolyubov, V. S. Vladimirov, A. N. Tavkhelidze, TMF, 12 (1972), 3

[2] B. I. Zavyalov, TMF, 17 (1973), 178 ; 19 (1974), 163 ; 33 (1977), 310 ; В. С. Владимиров, Б. И. Завьялов, ТМФ, 40 (1979), 155 | MR

[3] A. A. Logunov, M. A. Mestvirishvili, V. A. Petrov, Preprint IFVE 74-66, Serpukhov, 1974; Препринт ИФВЭ 76-157, Серпухов, 1976; Общие принципы квантовой теории поля и их следствия, ред. В. А. Мещеряков, «Наука», 1977 | MR

[4] B. A. Arbuzov, V. E. Rochev, YaF, 21 (1975), 883; Б. А. Арбузов, В. Ю. Дьяконов, В. Е. Рочев, ЯФ, 23 (1976), 904; К. Г. Клименко, В. Е. Рочев, ТМФ, 32 (1977), 348 ; 30 (1977), 191

[5] A. V. Kiselev, M. A. Mestvirishvili, V. E. Rochev, TMF, 39 (1979), 35

[6] B. V. Geshkenbein, A. I. Komech, YaF, 18 (1973), 914

[7] S. Deser, W. Gilbert, E. C. G. Sudarshan, Phys. Rev., 117 (1960), 266 | DOI | MR

[8] N. Nakanishi, Phys. Rev., D4 (1971), 2571

[9] R. Bartel, D. Robashik, TMF, 39 (1979), 180 | MR

[10] E. Vitsorek, V. A. Matveev, D. Robashik, A. N. Tavkhelidze, TMF, 22 (1975), 3 ; Б. А. Маградзе, В. А. Матвеев, Сообщение ОИЯИ, Р2-9435, Дубна, 1976; Сообщение ОИЯИ, Р2-10352, Дубна, 1976; ТМФ, 31 (1977), 308

[11] N. I. Usyukina, TMF, 17 (1973), 359 | Zbl

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

[13] R. E. Cutkosky, J. Mathem. Phys., VI (1960), 429 | DOI | MR

[14] V. S. Vladimirov, Obobschennye funktsii v matematicheskoi fizike, «Nauka», 1979 | MR