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
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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.
@article{TMF_1970_3_2_a6,
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},
publisher = {mathdoc},
volume = {3},
number = {2},
year = {1970},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1970_3_2_a6/}
}
TY - JOUR AU - M. Z. Iofa TI - Restrictions on the growth of the mass-shell elastic scattering amplitude following from the short range character of the interaction JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1970 SP - 197 EP - 211 VL - 3 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1970_3_2_a6/ LA - ru ID - TMF_1970_3_2_a6 ER -
%0 Journal Article %A M. Z. Iofa %T Restrictions on the growth of the mass-shell elastic scattering amplitude following from the short range character of the interaction %J Teoretičeskaâ i matematičeskaâ fizika %D 1970 %P 197-211 %V 3 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1970_3_2_a6/ %G ru %F TMF_1970_3_2_a6
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/