Geodesic
Restrictions on the behavior of elastic and inelastic cross sections at high energies. I
Teoretičeskaâ i matematičeskaâ fizika, Tome 9 (1971) no. 1, pp. 3-43
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Properties of the cross-sections of elastic and inelastic processes following from the general principles of quantum field theory are reviewed. By means of the unitarity and the Dyson representation the analiticity region in the $\cos\theta$-plane is established and the lower bound of the forward scattering amplitude decreasing is found. 
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A. A. Logunov; M. A. Mestvirishvili; O. A. Khrustalev. Restrictions on the behavior of elastic and inelastic cross sections at high energies. I. Teoretičeskaâ i matematičeskaâ fizika, Tome 9 (1971) no. 1, pp. 3-43. http://geodesic.mathdoc.fr/item/TMF_1971_9_1_a0/

[1] N. N. Bogolyubov, Izv. AN SSSR, ser. fiz., 19 (1955), 237 | Zbl

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

[3] N. N. Bogolyubov, Doklad na mezhdunarodnoi konferentsii v Siattle, 1956

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

[5] R. Nevanlinna, Odnoznachnye analiticheskie funktsii, OGIZ, 1941 | MR

[6] A. A. Logunov, M. A. Mestvirishvili, Nguen Van Hieu, Phys. Lett., 25B (1967), 617

[7] V. V. Ezhela, A. A. Logunov, M. A. Mestvirishvili, Preprint IFVE, STF 70-43, Serpukhov, 1970; ТМФ, 6 (1971), 42

[8] H. Lehmann, Nuovo Cim., 10 (1958), 579 | DOI | Zbl

[9] R. Ascoli, A. Minguzi, Phys. Rev., 118 (1960), 1435 | DOI | MR | Zbl

[10] A. A. Logunov, M. A. Mestvirishvili, Nguen Van Kheu, Preprint IFVE, STF 67-49-K, Serpukhov, 1967 | MR | Zbl

[11] R. Ascoli, Nuovo Cim., 18 (1960), 754 | DOI | MR | Zbl

[12] Y. Jin, A. Martin, Phys. Rev., 135B (1964), 1364

[13] A. Martin, Nuovo Cim., 42A (1966), 930 ; 44A (1966), 1219 ; A. Martin, Материалы международного семинара по аналитическим свойствам амплитуды рассеяния, июнь 1969, Препринт ИФВЭ, СТФ 69-101, 1969, стр. 4 | DOI | Zbl | DOI

[14] G. Sommer, Nuovo Cim., 48A (1967), 92 ; 52A (1967), 373 ; 52A (1967), 850 ; 52A (1967), 866 ; G. Sommer, Материалы международного семинара по аналитическим свойствам амплитуды рассеяния, июнь 1969, Препринт ИФВЭ, СТФ 69-101, 1969, стр. 47 | DOI | Zbl | DOI | DOI | DOI | Zbl

[15] M. Froissart, Phys. Rev., 123 (1961), 1053 | DOI

[16] O. W. Grinberg, F. E. Low, Phys. Rev., 124 (1961), 2047 | DOI | MR

[17] I. Ya. Pomeranchuk, ZhETF, 34 (1958), 725

[18] N. N. Khuri, T. Kinoshita, Phys. Rev., 137B (1965), 720 | DOI | MR

[19] D. Amati, M. Fierz, V. Glazer, Phys. Rev. Lett., 4 (1961), 89 | DOI

[20] M. Sugavara, A. Kanazawa, Phys. Rev., 123 (1961), 1995 | DOI

[21] N. N. Meiman, ZhETF, 43 (1962), 2277

[22] A. A. Logunov, Nguen Van Kheu, I. T. Todorov, UFN, 88 (1966), 51 | DOI

[23] G. G. Volkov, A. A. Logunov, M. A. Mestvirishvili, TMF, 4 (1970), 196

[24] T. Kinoshita, J. J. Loeffell, A. Martin, Phys. Rev., 135B (1964), 1464 ; В. В. Ежела, Ю. Г. Строганов, Препринт ИФВЭ, СТФ 70-18, Серпухов, 1970; В. В. Ежела, М. А. Мествиришвили, Препринт ИФВЭ, СТФ 70-42, Серпухов, 1970 | DOI

[25] A. A. Logunov, M. A. Mestvirishvili, Nguen Van Kheu, O. A. Khrustalev, Preprint IFVE, STF 68-54-K, Serpukhov, 1968

[26] F. J. Dyson, Phys. Rev., 110 (1958), 1460 ; R. Jost, H. Lehmann, Nuovo Cim., 5 (1957), 1598 | DOI | MR | Zbl | DOI | MR | Zbl

[27] G. Chelen, Fizika elementarnykh chastits, «Nauka», 1966

[28] J. D. Bessis, V. Glaser, Nuovo Cim., 50A (1967), 568 | DOI

[29] E. Gobson, Teoriya sfericheskikh i ellipsoidalnykh funktsii, IL, 1952

[30] J. Bros, H. Epstein, V. Glaser, Nuovo Cim., 31 (1964), 1265 ; Commun. Math. Phys., 1 (1965), 240 | DOI | MR | Zbl | DOI | MR

[31] V. S. Vladimirov, Metody teorii funktsii mnogikh kompleksnykh peremennykh, «Nauka», 1964 | MR

[32] L. Shvarts, Matematicheskie metody dlya fizicheskikh nauk, «Mir», 1965 | MR

[33] Y. Jin, A. Martin, Phys. Rev., 135B (1964), 1375 | DOI | MR

[34] A. A. Logunov, Nguen Van Kheu, O. A. Khrustalev, Problemy teoreticheskoi fiziki, «Nauka», 1969 | MR | Zbl

[35] G. Mahoux, A. Martin, Phys. Rev., 174 (1968), 2140 | DOI

[36] A. A. Logunov, Nguen Van Kheu, TMF, 1 (1969), 375

[37] G. Tiktopoulos, S. B. Treiman, Phys. Rev., 167 (1968), 1408 | DOI

[38] V. Singh, S. N. Roy, Ann. Phys., 57 (1970), 461 | DOI | MR

[39] A. A. Logunov, Nguen Van Kheu, Mezhdunarodnaya shkola po fizike vysokikh energii (Popradske Pleso, Chekhoslovakiya, 1967)

[40] N. Ya. Vilenkin, Spetsialnye funktsii i teoriya predstavlenii grupp, «Nauka», 1965 | MR

[41] J. Gunson, J. Math. Phys., 6 (1965), 827 ; M. Andrews, J. Gunson, J. Math. Phys., 5 (1964), 1391 | DOI | MR | DOI | MR

[42] V. V. Ezhela, Preprint IFVE, STF 70-39, Serpukhov, 1970

[43] V. N. Gribov, ZhETF, 41 (1962), 1962

[44] T. Kinoshita, primechanie, Phys. Rev., 154 (1967), 1438 | DOI

[45] N. N. Khuri, Rigorous Properties of Amplitudes et High Energies, Brookhaven National Laboratory, 1969