Geodesic
From the History of Dispersion Relations in the Chew–Low Model
Teoretičeskaâ i matematičeskaâ fizika, Tome 132 (2002) no. 2, pp. 288-294 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We formulate a model problem in the dispersion theory of strong interactions at low energies. The problem is based on the crossing symmetry and elastic unitarity of the $S$-matrix. We point out the role of the extensive studies on dispersion relations performed in Dubna in the 1960s.
Mots-clés : dispersion relations, $S$-matrix
Keywords: unitarity, crossing symmetry. 
@article{TMF_2002_132_2_a6,
     author = {V. A. Meshcheryakov},
     title = {From the {History} of {Dispersion} {Relations} in the {Chew{\textendash}Low} {Model}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {288--294},
     year = {2002},
     volume = {132},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2002_132_2_a6/}
}
TY  - JOUR
AU  - V. A. Meshcheryakov
TI  - From the History of Dispersion Relations in the Chew–Low Model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2002
SP  - 288
EP  - 294
VL  - 132
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_2002_132_2_a6/
LA  - ru
ID  - TMF_2002_132_2_a6
ER  - 
%0 Journal Article
%A V. A. Meshcheryakov
%T From the History of Dispersion Relations in the Chew–Low Model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2002
%P 288-294
%V 132
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_2002_132_2_a6/
%G ru
%F TMF_2002_132_2_a6
V. A. Meshcheryakov. From the History of Dispersion Relations in the Chew–Low Model. Teoretičeskaâ i matematičeskaâ fizika, Tome 132 (2002) no. 2, pp. 288-294. http://geodesic.mathdoc.fr/item/TMF_2002_132_2_a6/

[1] N. N. Bogolubov, Problems of the Theory of Despersion Relation, Preprint, Prinston, 1955; Н. Н. Боголюбов, Б. В. Медведев, М. К. Поливанов, Вопросы теории дисперсионных соотношений, Физматгиз, М., 1958 | MR

[2] N. N. Bogolyubov, V. S. Vladimirov, Izv. AN SSSR. Ser. matem., 22:1 (1958), 15 ; H. Bremermann, R. Oehme, J. G. Taylor, Phys. Rev., 109 (1958), 2178 ; H. Lehmann, Nuovo Cimento Suppl., 14 (1959), 153 ; В. С. Владимиров, А. А. Логунов, Изв. АН СССР. Сер. матем., 23:5 (1959), 661 ; В. С. Владимиров, Тр. МИРАН, 228, 2000, 7 | MR | Zbl | DOI | MR | Zbl | DOI | MR | Zbl | Zbl

[3] M. Goldberger, K. Vatson, Teoriya stolknovenii, Mir, M., 1967; M. L. Goldberger, K. M. Watson, Relations de dispersion et particules elementaries Ecole de Physique Theorieque, Hermann, Paris, 1960, p. 148

[4] A. A. Logunov, B. M. Stepanov, A. N. Tavkhelidze, DAN SSSR, 112 (1957), 45 ; А. А. Логунов, А. Н. Тавхелидзе, ЖЭТФ, 32 (1957), 1393 ; A. A. Logunov, L. D. Soloviev, A. N. Tavkhelidze, Phys. Lett. B, 24 (1967), 181 ; Н. Н. Боголюбов, С. М. Биленький, А. А. Логунов, ДАН СССР, 115 (1957), 891 ; А. А. Логунов, ДАН СССР, 120 (1958), 501 ; Вопросы теории дисперсионных соотношений для неупругих процессов, ОИЯИ, Дубна, 1959 | MR | Zbl | DOI | Zbl

[5] D. V. Shirkov, V. V. Serebryakov, V. A. Mescheryakov, Dispersionnye teorii silnykh vzaimodeistvii pri nizkikh energiyakh, Nauka, M., 1967

[6] E. Khenli, V. Tirring, Elementarnaya kvantovaya teoriya polya, IL, M., 1963 | MR

[7] S. Shveber, Vvedenie v relyativistskuyu kvantovuyu teoriyu polya, IL, M., 1963

[8] S. Mandelstam, Phys. Rev., 112 (1958), 1344 ; 115 (1959), 1741 ; 1752 | DOI | MR | DOI | MR | MR

[9] V. A. Mescheryakov, ZhETF, 53 (1967), 175

[10] D. I. Blokhintsev, G. I. Kolerov, Nuovo Cimento, 34 (1964), 163 | DOI | MR

[11] V. V. Serebryakov, D. V. Shirkov, EChAYa, 1:1 (1970), 171

[12] V. I. Zhuravlev, V. A. Mescheryakov, EChAYa, 5 (1974), 173

[13] R. Oehme, Int. J. Mod. Phys. A, 10 (1995), 1995 | DOI

[14] V. A. Mescheryakov, ZhETF, 51 (1966), 648

[15] K. Rerikh, Physica D, 57 (1992), 337 | DOI | MR | Zbl

[16] V. A. Mescheryakov, DAN SSSR, 174 (1967), 1054

[17] A. Meshcheryakov, Int. J. Mod. Phys. A, 12:1 (1997), 249 | DOI | MR | Zbl

[18] M. Froissart, R. Omnes, Compt. Rend. Acad. Sci., 245 (1957), 2203 | MR | Zbl

[19] V. P. Gerdt, V. A. Mescheryakov, Soobsch. OIYaI R2-7976, 1974 | MR

[20] V. P. Gerdt, V. I. Inozemtsev, V. A. Meshcheryakov, Lett. Nuovo Cimento, 15 (1976), 321 | DOI

[21] M. Majewski, A. Meshcheryakov, Analyticity and quark-gluon structure of hadrons total cross-sections, Preprint No E2-2001-183, JINR, Dubna, 2001