Geodesic
Integral equation for the causal distributions and their self-similar asymptotic behavior in the ladder $\Phi^3$~model
Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 3, pp. 302-312

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A method is proposed for deriving an integral equation for the spectral density of the causal distributions of the single-particle diagonal matrix element of the commutator of scalar currents. In the ladder approximation of the $\Phi^3$ model in the case of a massless exchange particle, the equation is solved exactly. Closed expressions are found for the spectral functions of the Deser–Gilbert–Sudarshan and Jost–Lehmann–Dyson representations for the single-particle matrix element of the current commutator. 
@article{TMF_1980_45_3_a1,
     author = {A. N. Kvinikhidze and B. A. Magradze and V. A. Matveev and M. A. Mestvirishvili and A. N. Tavkhelidze},
     title = {Integral equation for the causal distributions and their self-similar asymptotic behavior in the ladder $\Phi^3$~model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {302--312},
     publisher = {mathdoc},
     volume = {45},
     number = {3},
     year = {1980},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_45_3_a1/}
}
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A. N. Kvinikhidze; B. A. Magradze; V. A. Matveev; M. A. Mestvirishvili; A. N. Tavkhelidze. Integral equation for the causal distributions and their self-similar asymptotic behavior in the ladder $\Phi^3$~model. Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 3, pp. 302-312. http://geodesic.mathdoc.fr/item/TMF_1980_45_3_a1/