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.
@article{TMF_1981_46_1_a5,
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/}
}
TY - JOUR AU - V. A. Gribov TI - Dimensional regularization and exact solution in an equation of the type of the radial Schr\"odinger equation JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1981 SP - 64 EP - 70 VL - 46 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1981_46_1_a5/ LA - ru ID - TMF_1981_46_1_a5 ER -
%0 Journal Article %A V. A. Gribov %T Dimensional regularization and exact solution in an equation of the type of the radial Schr\"odinger equation %J Teoretičeskaâ i matematičeskaâ fizika %D 1981 %P 64-70 %V 46 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1981_46_1_a5/ %G ru %F TMF_1981_46_1_a5
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/