Dimensional regularization and exact solution in an equation of the type of the radial Schr\"odinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 1, pp. 64-70

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An equation of the type of the radial Schrödinger equation which arises in various problems of quantum field theory is considered. It is shown that the exact solution and a partial sum of the perturbation theory series for the solution coincide (up to an infinite renormalization constant) with the results obtained by the method of dimensional regularization.
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     author = {V. A. Gribov},
     title = {Dimensional regularization and exact solution in an equation of the type of the radial {Schr\"odinger} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {64--70},
     publisher = {mathdoc},
     volume = {46},
     number = {1},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_46_1_a5/}
}
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V. A. Gribov. Dimensional regularization and exact solution in an equation of the type of the radial Schr\"odinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 1, pp. 64-70. http://geodesic.mathdoc.fr/item/TMF_1981_46_1_a5/