Solvable models of vacuum polarization in scalar field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 29 (1976) no. 1, pp. 42-51
K. G. Klimenko; V. E. Rochev. Solvable models of vacuum polarization in scalar field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 29 (1976) no. 1, pp. 42-51. http://geodesic.mathdoc.fr/item/TMF_1976_29_1_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The polarization operator in scalar field theory is considered in the approximation of “rainbow” diagrams on the basis of the equations for the imaginary part. Exact solutions are obtained in a number of models.

[1] N. Nakanishi, Progr. Theor. Phys. Suppl., 43 (1969), 1 | DOI | MR | Zbl

[2] S. Edwards, Phys. Rev., 90 (1953), 284 | DOI | MR | Zbl

[3] M. L. Goldberger, “Multiperipheral dynamics”, Subnuclear phenomena, ed. A. Zichichi, Academic Press, 1970, 62 | DOI | MR

[4] B. A. Arbuzov, V. E. Rochev, YaF, 21 (1975), 883

[5] B. A. Arbuzov, V. Yu. Dyakonov, V. E. Rochev, Preprint IFVE 75-42, Serpukhov, 1975

[6] F. J. Gilman, Invited talk at the International Symposium on Lepton and Photon Interactions, Stanford University preprint SLAC-PUB-1650, 1975

[7] K. D. Rothe, Nucl. Phys., B88 (1975), 501 | DOI

[8] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, «Nauka», 1973 | MR | Zbl

[9] G. Beitmen, A. Erdeii, Vysshie transtsendentnye funktsii, t. 1, «Nauka», 1973 ; т. 2, «Наука», 1974 | MR

[10] C. S. Meijer, Proc. Kon. Nederl. Akad. v. Wetensch., A49, 227 ; 344; 457; 632; 765 ; 936 ; 1063 ; (1946), 1165 | MR | Zbl

[11] A. M. Jaffe, Phys. Rev., 158 (1967), 1454 | DOI