Geodesic
Spacelike asymptotic behavior of vacuum expectation values in nonlocal field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 3, pp. 363-374 Cet article a éte moissonné depuis la source Math-Net.Ru

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The present paper is the last of three in whieh a new method is proposed for deriving the cluster decomposition properties of vacuum expectation values in field theories with a mass gap. In the present paper, it is shown that the decomposition property is established with exponential speed for the case of nonlocalizable highly singular fields. The usual Araki–Hepp–Ruelle method does not apply to such fields. 
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M. A. Soloviev. Spacelike asymptotic behavior of vacuum expectation values in nonlocal field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 3, pp. 363-374. http://geodesic.mathdoc.fr/item/TMF_1982_52_3_a2/

[1] Araki H., Hepp K., Ruelle D., Helv. Phys. Acta, 35:3 (1962), 164–174 | MR | Zbl

[2] Khepp K., Epshtein A., Analiticheskie svoistva amplitud rasseyaniya v lokalnoi kvantovoi teorii polya, Atomizdat, M., 1971

[3] Iost R., Obschaya teoriya kvantovannykh polei, Mir, M., 1967 | MR

[4] Solovev M. A., TMF, 42:1 (1980), 3–15 | MR

[5] Solovev M. A., TMF, 52:2 (1982), 213–224 | MR

[6] Striter R., Vaitman A. S., RST, spin i statistika i vse takoe, Nauka, M., 1966

[7] Vladimirov V. S., Metody teorii funktsii mnogikh kompleksnykh peremennykh, Nauka, M., 1964 | MR

[8] Pohlmeyer K., Commun. Math. Phys., 7:1 (1968), 80–92 | DOI | MR | Zbl

[9] Borchers H. J., Pohlmeyer K., Commun. Math. Phys., 8:4 (1968), 269–281 | DOI | MR | Zbl

[10] Iofa M. Z., Fainberg V. Ya., ZhETF, 56:5 (1969), 1644–1656 | Zbl

[11] Meiman N. N., ZhETF, 47:5 (1964), 1966–1983 | MR

[12] Fainberg V. Ya., Soloviev M. A., Ann. Phys., 113:2 (1978), 421–447 | DOI | MR | Zbl

[13] Fainberg V. Ya., “O kvantovykh teoriyakh polya s nepolinomialnym rostom matrichnykh elementov”, Problemy teoreticheskoi fiziki, Sb., Nauka, M., 1972, 119–145 | MR

[14] Efimov G. V., Nelokalnye vzaimodeistviya kvantovannykh polei, Nauka, M., 1977 | MR

[15] Volkov M. K., Pervushin V. N., Suschestvenno nelineinye kvantovye teorii, dinamicheskie simmetrii i fizika mezonov, Atomizdat, M., 1978

[16] Khoruzhii S. S., K postroeniyu aksiomaticheskoi teorii neperenormiruemykh vzaimodeistvii, II, Preprint R2-3086, OIYaI, Dubna, 1966

[17] Iofa M. Z., Fainberg V. Ya., TMF, 1:2 (1969), 187–199 | MR

[18] Taylor J. G., Ann. Phys., 68:2 (1971), 484–498 | DOI | MR

[19] Bümmerstede J., Lücke W., Commun. Math. Phys., 37:2 (1974), 121–140 | DOI | MR

[20] Ruelle D., Helv. Phys. Acta, 35:3 (1962), 147–163 | MR | Zbl

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

[22] Shefer Kh., Topologicheskie vektornye prostranstva, Mir, M., 1971 | MR

[23] Mandelbroit S., Primykayuschie ryady. Regulyarizatsiya posledovatelnostei. Primeneniya, IL, M., 1955

[24] Jaffe A. M., Phys. Rev., 158:5 (1967), 1454–1461 | DOI

[25] Solovev M. A., TMF, 7:2 (1971), 183–191 | MR | Zbl

[26] Solovev M. A., TMF, 20:3 (1974), 299–301 | MR | Zbl

[27] Solovev M. A., TMF, 15:1 (1973), 3–19 | MR | Zbl

[28] Fainberg V. Ya., Soloviev M. A., Commun. Math. Phys., 57:2 (1977), 149–159 | DOI | MR | Zbl

[29] Solovev M. A., TMF, 43:2 (1980), 202–209 | MR

[30] Solovev M. A., Svertka s funktsionalami, sosredotochennymi v konuse, Preprint ITEF-140, ITEF, M., 1977

[31] Mandelbroit S., Teoremy zamknutosti i teoremy kompozitsii. Prilozhenie, IL, M., 1962

[32] Kashpirovskii A. I., Funkts. analiz i ego prilozh., 14:2 (1980), 60 | MR

[33] Kartan A., Differentsialnoe ischislenie. Differentsialnye formy, Mir, M., 1971 | MR | Zbl