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Restrictions on the growth of the mass-shell elastic scattering amplitude following from the short range character of the interaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 3 (1970) no. 2, pp. 197-211 Cet article a éte moissonné depuis la source Math-Net.Ru

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Bounds of Greenberg–Low type and analyticlty in the squared momentum transfer in a certain ellipse are proved for the elastic scattering amplitude $F(s,\cos\theta)$ for a large class of field theories, (including nonlocalizable theories [10]). It is shown that the conditions that are sufficient for the proof of the existence of the $S$-matrix by the Haag–Ruelle methodare sufficient for the proof of the bounds on the partial amplitudes. The proof is based on the cluster property of the vacuum expectation values. These properties reflect the shortrange character of the interaction forces between the particles. 
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     author = {M. Z. Iofa},
     title = {Restrictions on the growth of the mass-shell elastic scattering amplitude following from the short range character of the interaction},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {197--211},
     year = {1970},
     volume = {3},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_3_2_a6/}
}
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M. Z. Iofa. Restrictions on the growth of the mass-shell elastic scattering amplitude following from the short range character of the interaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 3 (1970) no. 2, pp. 197-211. http://geodesic.mathdoc.fr/item/TMF_1970_3_2_a6/

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

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

[3] J. Bros, H. Epstein, V. Glaser, Nuovo Cim., 31 (1964), 1265 | DOI | MR | Zbl

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

[5] A. Martin, Nuovo Cim., 42 (1966), 930 | DOI | Zbl

[6] R. Omnes, Phys. Rev., 146 (1966), 1123 | DOI

[7] M. Kugler, R. Roskies, Phys. Rev., 155 (1967), 1658 | DOI

[8] D. Ruelle, Helv. Phys. Acta, 35 (1962), 147 | MR | Zbl

[9] H. Araki, K. Hepp, D. Ruelle, Helv. Phys. Acta, 31 (1962), 164 | MR

[10] M. Z. Iofa, V. Ya. Fainberg, ZhETF, 56 (1969), 1644 ; Препринт ИТФ-69-23, Киев | Zbl

[11] M. Z. Iofa, V. Ya. Fainberg, TMF, 1 (1969), 187 | MR

[12] S. W. MacDowell, R. Roskies, B. Schroer, Phys. Rev., 166 (1968), 1691 | DOI

[13] S. W. MacDowell, R. Roskies, Phys. Rev., 166 (1968), 1703 | DOI

[14] R. Striter, A. Vaitman, $PCT$, spin i statistika i vse takoe, «Nauka», 1966

[15] A. M. Jaffe, Phys. Rev., 158 (1967), 1454 | DOI

[16] R. Iost, Obschaya teoriya kvantovannykh polei, «Mir», 1967 | MR

[17] I. M. Gelfand, G. E. Shilov, Obobschennye funktsii, t. 2, Fizmatgiz, 1958 | MR