Geodesic
Analytic properties of many-particle amplitudes
Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 2, pp. 163-176 
B. V. Medvedev; V. P. Pavlov; M. K. Polivanov; A. D. Sukhanov. Analytic properties of many-particle amplitudes. Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 2, pp. 163-176. http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a0/
@article{TMF_1982_52_2_a0,
     author = {B. V. Medvedev and V. P. Pavlov and M. K. Polivanov and A. D. Sukhanov},
     title = {Analytic properties of many-particle amplitudes},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {163--176},
     year = {1982},
     volume = {52},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a0/}
}
TY  - JOUR
AU  - B. V. Medvedev
AU  - V. P. Pavlov
AU  - M. K. Polivanov
AU  - A. D. Sukhanov
TI  - Analytic properties of many-particle amplitudes
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1982
SP  - 163
EP  - 176
VL  - 52
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a0/
LA  - ru
ID  - TMF_1982_52_2_a0
ER  - 
%0 Journal Article
%A B. V. Medvedev
%A V. P. Pavlov
%A M. K. Polivanov
%A A. D. Sukhanov
%T Analytic properties of many-particle amplitudes
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1982
%P 163-176
%V 52
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a0/
%G ru
%F TMF_1982_52_2_a0

Voir la notice de l'article provenant de la source Math-Net.Ru

In the framework of Bogolyubov axiomatics, a complete proof is given that there exists an analytic function whose various boundary values are the amplitudes of all channels of an $n$-particle process. The single-particle structure of this function is elucidated.

[1] Araki H., J. Math. Phys., 2 (1961), 163–177 | DOI | MR

[2] Ruelle D., Nuovo Cim., 19 (1961), 356–376 | DOI | MR | Zbl

[3] Bros J., Analytic Methods in Mathematical Physics, Gordon and Breach, N. Y., 1970 | MR

[4] Bros J., Epstein H., Glaser V., Helv. Phys. Acta, 45 (1972), 149

[5] Epstein H., Glaser V., Stora R., General properties of the $n$-point functions in local guantum field theory, CERN lecture, 1976

[6] Logunov A. A., Mestvirishvili M. A., Medvedev B. V., Pavlov V. P., Polivanov M. K., Sukhanov A. D., TMF, 33:2 (1977), 149–173 | MR

[7] Pavlov V. P., TMF, 37:2 (1978), 154–170 | MR

[8] Logunov A. A., Medvedev B. V., Muzafarov L. M., Pavlov V. P., Polivanov M. K., Sukhanov A. D., TMF, 40:2 (1979), 179–193 | MR