Geodesic
Reggeon rescattering in the $\varphi^4$ theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 24 (1975) no. 1, pp. 17-23

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In the $\alpha$-representation all logarithms of the Mandelstam diagram in the $\varphi^4$- theory are summed up. It is shown that in spite of the absence of rapid decreasing of the off-shell scattering amplitude, the rescatterings of the Regge poles as well as the fixed square-root branching points, which are present in the $\varphi^4$-theory together with the Regge poles, are correctly described by the usual formula. 
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     author = {M. V. Gershkevich and A. V. Efremov},
     title = {Reggeon rescattering in the $\varphi^4$ theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {24},
     number = {1},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_24_1_a2/}
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M. V. Gershkevich; A. V. Efremov. Reggeon rescattering in the $\varphi^4$ theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 24 (1975) no. 1, pp. 17-23. http://geodesic.mathdoc.fr/item/TMF_1975_24_1_a2/