Algebraic aspects of Wightman axiomatics
Teoretičeskaâ i matematičeskaâ fizika, Tome 3 (1970) no. 1, pp. 24-56 Cet article a éte moissonné depuis la source Math-Net.Ru

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The artlcle is a review of the achievements of Borchers's approach (1962) to Wlghtman axiomatles. A detailed analysis is provided of the problem of symmetry breaking in the framework of this approach.
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A. N. Vasil'ev. Algebraic aspects of Wightman axiomatics. Teoretičeskaâ i matematičeskaâ fizika, Tome 3 (1970) no. 1, pp. 24-56. http://geodesic.mathdoc.fr/item/TMF_1970_3_1_a2/

[1] A. S. Wightman, Phys. Rev., 101 (1956), 860 | DOI | MR | Zbl

[2] R. Striter, A. Vaitman, SRT, spin i statistika i vse takoe, «Nauka», 1966

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

[4] A. Vaitman, Problemy v relyativistskoi dinamike kvantovannykh polei, «Nauka», 1968

[5] I. M. Gelfand, N. Ya. Vilenkin, Obobschennye funktsii, t. 4, Fizmatgiz, 1964, str. 32, 35 | MR

[6] M. A. Naimark, Normirovannye koltsa, «Nauka», 1968, str. 288 | MR | Zbl

[7] H. J. Borchers, Nuovo Cim., 24 (1962), 214 | DOI | MR | Zbl

[8] [5], str. 89, 408

[9] [6], str. 201

[10] N. I. Akhiezer, I. M. Glazman, Teoriya lineinykh operatorov, Gostekhizdat, 1950, str. 120

[11] D. Ruelle, Helv. Phys. Acta, 35 (1962), 1 | MR

[12] H. J. Borchers, Commun. math. Phys., 1 (1965), 49 | DOI | MR | Zbl

[13] A. N. Vassilev, Commun. math. Phys., 13 (1969), 81 | DOI | MR

[14] [6], str. 579

[15] L. V. Kantorovich, G. P. Akilov, Funktsionalnyi analiz v normirovannykh prostranstvakh, Fizmatgiz, 1959 | MR

[16] [6], str. 50

[17] N. Burbaki, Integrirovanie, «Nauka», 1967, str. 53, 57 | MR

[18] [15], str. 382

[19] [6], str. 573

[20] R. Haag, Phys. Rev., 112 (1958), 669 | DOI | MR | Zbl

[21] D. Ruelle, Helv. Phys. Acta, 35 (1962), 147 | MR | Zbl

[22] R. Haag, Nuovo Cim., 25 (1962), 287 | DOI | MR | Zbl

[23] A. N. Vasilev, TMF, 1 (1969), 305

[24] A. N. Vasilev, TMF, 2 (1970), 153 | MR

[25] G. Lassner, A. Uhlmann, Commun. math. Phys., 7 (1968), 152 ; Preprint E2-3583, Dubna, 1967 | DOI | MR | Zbl | Zbl

[26] G. Lassner, Preprint E5-4606, Dubna, 1969