Geodesic
Vacuum expectation values of quantum fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 1, pp. 41-63 Cet article a éte moissonné depuis la source Math-Net.Ru

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We propose a new system of vacuum expectation values for quantum fields. For finite series, these distributions satisfy the linear Wightman axioms.
Keywords: Wightman distributions. 
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Yu. M. Zinoviev. Vacuum expectation values of quantum fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 1, pp. 41-63. http://geodesic.mathdoc.fr/item/TMF_2008_157_1_a3/

[1] A. S. Wightman, L. Gårding, Ark. Fys., 28 (1965), 129–189 | Zbl

[2] R. Striter, A. S. Vaitman, RST, spin i statistika i vse takoe, Nauka, M., 1966 | MR | Zbl

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

[4] N. N. Bogolyubov, A. A. Logunov, A. I. Oksak, I. T. Todorov, Obschie printsipy kvantovoi teorii polya, Nauka, M., 1987 | MR | MR | Zbl

[5] P. D. Methée, Comment. Math. Helv., 28:1 (1954), 225–269 | DOI | MR | Zbl

[6] L. Gårding, J. L. Lions, Nuovo Cimento, 14:1 (1959), 9–66, Suppl. | DOI | MR | Zbl

[7] Yu. M. Zinoviev, Comm. Math. Phys., 47:1 (1976), 33–42 | DOI | MR | Zbl

[8] Yu. M. Zinovev, TMF, 156:3 (2008), 328–350 | DOI | MR

[9] N. Ya. Vilenkin, Spetsialnye funktsii i teoriya predstavlenii grupp, Nauka, M., 1965 | MR | MR | Zbl

[10] J. Bros, H. Epstein, V. Glaser, Comm. Math. Phys., 6:2 (1967), 77–100 | DOI | MR | Zbl

[11] N. N. Bogolyubov, V. S. Vladimirov, Nauchn. dokl. vysshei shkoly. Fiz.-mat. nauki, 3 (1958), 26–35

[12] N. N. Bogolyubov, V. S. Vladimirov, Nauchn. dokl. vysshei shkoly. Fiz.-mat. nauki, 2 (1959), 179–179

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

[14] G. Beitmen, A. Erdeii, Vysshie transtsendentnye funktsii. Funktsii Besselya, funktsii parabolicheskogo tsilindra, ortogonalnye mnogochleny, Spravochnaya matematicheskaya biblioteka, Nauka, M., 1966 | MR | MR | Zbl

[15] V. S. Vladimirov, Yu. N. Drozhzhinov, B. I. Zavyalov, Mnogomernye tauberovy teoremy dlya obobschennykh funktsii, Nauka, M., 1986 | MR | MR | Zbl

[16] I. M. Gelfand, G. E. Shilov, Obobschennye funktsii i deistviya nad nimi, Vyp. 1, Fizmatlit, M., 1959 | MR | Zbl