Geodesic
Solvable models of vacuum polarization in scalar field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 29 (1976) no. 1, pp. 42-51

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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. 
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     title = {Solvable models of vacuum polarization in scalar field theory},
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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/